@article{107578,
title = {Sixtieth birthday of Professor Ivan Kol\'a\v r},
journal = {Archivum Mathematicum},
volume = {032},
year = {1996},
pages = {241-248},
zbl = {0881.01019},
mrnumber = {1441396},
language = {en},
url = {http://dml.mathdoc.fr/item/107578}
}
(éd.). Sixtieth birthday of Professor Ivan Kolář. Archivum Mathematicum, Tome 032 (1996) pp. 241-248. http://gdmltest.u-ga.fr/item/107578/
The application of Cartan’s method to general nets on surfaces in three-dimensional projective space (Czech), Rozpravy CSAV, Academia, Praha 1967.
Introduction into Thom’s catastrophe theory (Czech), Academia, Praha 1988.
Structured Bundles, Pitagora Editrice, Bologna 1991.
Natural Operations in Differential Geometry, Springer–Verlag, 1993. | MR 1202431
The mathematical legacy of Eduard Čech, Academia Praha–Birkhauser Basel, 1993. | MR 1269142
La méthode du réperage des systemes de sous-variétés, CMUC 5 (1964), 183–201. (1964) | MR 0175050
On Lenz’s problem on the independence of the axioms of affine space, CMUC 6 (1965), 339–346. (1965) | MR 0192385
Conjugate nets of axial and axial-radial types with respect to the congruences of canonical lines with variable index (Russian), Čas. pěst. mat. 91 (1966), 64–71. (1966) | MR 0195009
Geometric structure with Hilbert’s axioms of incidence and order, Čas. pěst. mat. 91 (1966), 384–388. (1966) | MR 0208450
On extended connections, CMUC 9 (1968), 687–690. (1968) | MR 0246217
On the higher order connections on principal fiber bundles (Czech), Sborník VAAZ Brno, řada B (1969), 39–47. (1969)
Order of holonomy and geometric objects of manifolds with connection, CMUC 10 (1969), 559–565. (1969) | MR 0264539
Geometric objects of submanifolds of a space with fundamental Lie pseudogroup, CMUC 11 (1970), 227–234. (1970) | MR 0266081
Order of holonomy of a surface with projective connection, Čas. pest. mat. 96 (1971), 73–80. (1971) | MR 0286026
Complex velocities on real manifolds, Czechoslovak Math. J. 21 (1971), 118–123. (1971) | MR 0276884
On the torsion of spaces with connection, Czechoslovak Math. J. 21 (1971), 124–136. (1971) | MR 0293531
Higher order torsions of spaces with Cartan connection, Cahiers Topol. Géom. Diff. 12 (1971), 137–146. (1971) | MR 0315619
Canonical forms on the prolongations of principal fibre bundles, Rev. Roumaine Math. Pures Appl. 16 (1971), 1091–1106. (1971) | MR 0301668
On the prolongations of geometric object fields, An. Sti. Univ. ’Al. I. Cuza’ Iasi 17 (1971), 437–446. (1971) | MR 0305278
The contact of spaces with connection, J. Differential Geometry 7 (1972), 563–570. (1972) | MR 0415660
Higher order torsions of manifolds with connection, Arch. Math. (Brno) 8 (1972), 149–156. (1972) | MR 0331265
A generalized point of view to osculating spaces, Rendiconti di Matematica, (4), Serie VI 5 (1972), 731–743. (1972) | MR 0334041
On the absolute differentiation of geometric object fields, Ann. Polon. Math. 27 (1973), 293–304. (1973) | MR 0326593
On manifolds with connection, Czechoslovak Math. J. 23 (1973), 34–44. (1973) | MR 0315620
On the prolongations of differentiable distributions, Matematický časopis SAV 23 (1973), 317–325. (1973) | MR 0336770
On the infinitesimal geometric objects of submanifolds, Arch. Math. (Brno) 9 (1973), 203–211. (1973) | MR 0375113
Some higher order operations with connections (preliminary communication), CMUC 14 (1973), 761–766. (1973) | MR 0343202
On the reducibility of connections on the prolongations of vector bundles, Colloq. Math. 30 (1974), 245–257. (1974) | MR 0372903
Some higher order operations with connections, Czechoslovak Math. J. 24 (1974), 311–330. (1974) | MR 0356114
On some operations with connections, Math. Nachrichten 69 (1975), 297–306. (1975) | MR 0391157
A generalization of the torsion form, Čas. pěst. mat. 100 (1975), 284–290. (1975) | MR 0383287
Generalized G-structures and G-structures of higher order, Boll. Un. Mat. Ital., Suppl. fasc. 3 12 (1975), 245–256. (1975) | MR 0445424
On the Hamilton formalism in fibered manifolds, Scripta Fac. Sci. Nat. UJEP Brunensis, Physica 5 (1975), 249–254. (1975) | MR 0442978
Affine differential operators and the Hamilton formalism, Knižnice VUT Brno B56 (1975), 17–21. (1975) | MR 0402811
On the jet prolongations of smooth categories, Bull. Acad. Polon. Sci., Sér. math. 24 (1976), 883–887. (1976) | MR 0436190
On the invariant method in differential geometry of submanifolds, Czechoslovak Math. J. 27 (1977), 96–113. (1977) | MR 0428231
On the Euler-Lagrange differential in fibered manifolds, Reports on Mathematical Physics 12 (1977), 301–305. (1977) | MR 0501101
Fundamental vector fields on associated fiber bundles, Čas. pěst. mat. 102 (1977), 419–425. (1977) | MR 0482887
Induced connections and connection morphisms, CSSR-GDR-Polish Scientific School on Differential Geometry, Proceedings (1978), 125–132. (1978)
Structure morphisms of prolongation functors, Math. Slovaca 30 (1980), 83–93. (1980) | MR 0568217
On the automorphisms of principal fiber bundles, CMUC 21 (1980), 309–312. (1980) | MR 0580685
Lie derivatives and natural operators, Eighth Winter School on Abstract Analysis, Abstracts, Mathematical Institute of the CSAV, Praha (1980), 108–109. (1980)
On generalized connections, Beitrage zur Algebra und Geometrie 11 (1981), 29–34. (1981) | MR 0680454
Connections in 2-fibered manifolds, Arch. Math. (Brno) 17 (1981), 23–30. (1981) | MR 0672485
Fiber parallelism and connections, Lecture Notes in Mathematics, 838, Springer-Verlag (1981), 165–173. (1981) | MR 0636278
Lie derivatives on vector bundles, Proceedings of the Conference on Diff. Geom. and its Applications, Universita Karlova Praha (1982), 111–116. (1982) | MR 0663218
Lie derivatives and higher order Lagrangians, Proceedings of the Conference on Diff. Geom. and its Applications, Universita Karlova Praha (1982), 117–123. (1982) | MR 0663219
Prolongations of generalized connections, Colloquia Matematica Societatis János Bolyai, 31. Differential Geometry, Proceedings, North Holland (1982), 317–325. (1982) | MR 0706928
Structure equations of generalized connections, Čas. pěst. mat. 107 (1982), 253–256. (1982) | MR 0673050
On the second tangent bundle and generalized Lie derivatives, Tensor, N. S. 38 (1982), 98–102. (1982) | MR 0832633
On the higher order Poincaré-Cartan forms, Czechoslovak Math. J. 33 (1983), 467–475. (1983) | MR 0718929
Functorial prolongations of Lie groups and their actions, Čas. pěst. mat. 108 (1983), 289–293. (1983) | MR 0716414
Some geometric aspects of the higher order variational calculus, Proceedings of the Conference on Diff. Geom. and its Applications, Nové Město na Moravě 2 (1983), 155–166. (1983) | MR 0793206
Higher order absolute differentiation with respect to generalized connections, Differential Geometry, Banach Center Publications 12 (1984), 153–162. (1984) | MR 0961078
A geometrical version of the higher order Hamilton formalism in fibered manifolds, J. Geometry and Physics 1 (1984), 127–137. (1984) | MR 0794983
Natural transformations of the second tangent functor into itself, Arch. Math. (Brno) 20 (1984), 169–172. (1984) | MR 0784868
On the structure function of a G-structure, Math. Slovaca 35 (1985), 277–282. (1985) | MR 0808363
On the connections naturally induced on the second order frame bundle, Arch. Math. (Brno) 22 (1986), 21–28. (1986) | MR 0868117
Natural operations with connections on second order frame bundles, Colloquia Mathematica Societatis János Bolyai, 46. Topics in Differential Geometry, Proceedings, North Holland (1986), 715–732. (1986) | MR 0933869
Covariant approach to natural transformations of Weil functors, CMUC 27 (1986), 723–729. (1986) | MR 0874666
Some natural operators in differential geometry, Differential Geometry and Its Applications, Proceedings, D. Reidel (1987), 91–110. (1987) | MR 0923346
Natural operations with second order jets, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 14 (1987), 179–186. (1987) | MR 0920854
All natural concomitants of vector valued differential forms, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 16 (1987), 101–108. (1987) | MR 0946715
Some natural operations with connections, J. of National Academy of India 5 (1987), 127–141. (1987) | MR 0994555
Natural transformations of second tangent and cotangent functors, Czechoslovak Math. J. 38 (1988), 274–279. (1988) | MR 0946296
On the natural operators on vector fields, Ann. Global Anal. Geom. 6 (1988), 109–117. (1988) | MR 0982760
Lie derivatives of sectorform fields, Colloq. Math. LV (1988), 71–78. (1988) | MR 0964324
Functorial prolongations of r-connections, Lecture Notes KMU Leipzig 88-08 (1988), 1-10. (1988)
On the natural operators transforming connections to the tangent bundle of a fibred manifold, Knižnice VUT Brno B119 (1988), 47–56. (1988)
Natural transformations of higher order tangent bundles and jet spaces, Čas. pěst. mat. 114 (1989), 181–185. (1989) | MR 1063764
On the geometric functors on manifolds, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 21 (1989), 223–233. (1989) | MR 1009575
On some gauge-natural operators, Seminari dell’Istituto di Matematica Applicata, Firenze (l989), 1–11. (l989)
On the algebraic structure on the bundles of higher order velocities, Seminari dell’Istituto di Matematica Applicata, Firenze (1989), 1–17. (1989)
Natural operators transforming vector fields and exterior forms into exterior forms, Zeszyty naukowe Politechniki Slaskej, Matematyka-Fizyka 64 (1990), 135–139. (1990)
Prolongation of vector fields to jet bundles, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 22 (1990), 103–111. (1990) | MR 1061792
General natural bundles and operators, Differential Geometry and Its Applications, Proceedings, Brno, World Scientific (1990), 69–78. (1990) | MR 1062007
On the algebraic structure on the jet prolongations of fibered manifolds, Czechoslovak Math. J. 40 (1990), 601–611. (1990) | MR 1084896
Some gauge-natural operators on linear connections, Monatshefte Math. 111 (1991), 23–33. (1991) | MR 1089381
Natural maps on the iterated jet prolongation of a fibered manifold, Annali di Mat. pura ed applicata CLVIII (1991), 151–165. (1991) | MR 1131848
Gauge-natural operators transforming connections to the tangent bundle, The Mathematical Heritage of C. F. Gauss, World Scientific (1991), 416–426. (1991) | MR 1146244
General structured bundles, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 26 (1991), 105–111. (1991) | MR 1151895
Natural affinors on time-dependent Weil bundles, Arch. Math. (Brno) 27 (1991), 205–209. (1991) | MR 1189217
Natural bundles and operators (Russian), Problemy geometrii, VINITI Moskva 23 (1991), 67–98. (1991) | MR 1152586
Special tangent-valued forms and the Frolicher-Nijenhuis bracket, Arch. Math. (Brno) 29 (1991), 71–82. (1991) | MR 1242630
Some gauge-natural operators on connections, Colloquia Mathematica Societatis János Bolyai, 56. Differential Geometry, Proceedings, Janos Bolayi Math. Soc. Budapest and Elsevier, Amsterdam (1992), 435–445. (1992) | MR 1211672
Torsions of connections on some natural bundles, Differential Geometry and its Applications 2 (1992), 1–16. (1992) | MR 1244453
Natural affinors on the extended r-th order tangent bundles, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 30 (1993), 95–100. (1993) | MR 1246623
Gauge-natural forms of Chern-Weil type, Ann. Global Anal. Geom. 11 (1993), 41–47. (1993) | MR 1201410
An abstract characterization of the jet spaces, Cahiers Topol. Géom. Diff. Catégoriques XXXIV (1993), 121–125. (1993) | MR 1223655
On the natural operators transforming vector fields to the r-th order tensor power, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 32 (1993), 15–20. (1993) | MR 1283617
Natural operators related with the variational calculus, Differential Geometry and Its Applications, Proceedings Opava (1993), 461–472. | MR 1255562
On cotangent bundles of some natural bundles, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 37 (1994), 115–120. (1994) | MR 1344006
Prolongation of tangent valued forms to Weil bundles, Arch. Math. (Brno) 31 (1995), 139–145. (1995) | MR 1357981
Connections on some functional bundles, Czechoslovak Math. J. 45 (1995), 529–548. (1995) | MR 1344519
Torsion-free connections on higher order frame bundles, New Developments in Differential Geometry, Proceedings, Kluwer (1996), 233–241. (1996) | MR 1377287
Recent results and new ideas on Weil bundles, Proceedings of the Conference on Geometry and Topology, Timisoara, July 5–9, 1994, Editura MIRTON, Timisoara, 1996, 127–136.
An infinite dimensional motivation in higher order geometry, Differential Geometry and Applications, Proceedings, Masaryk University, Brno, 1996, 151–159. | MR 1406335
Natural operations on higher order tangent bundles, Extracta Matematica 11 (1996), 106-115. (1996) | MR 1424748
Connections in first principal prolongations, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 43 (1996), 163–171. (1996) | MR 1463518
The Frolicher-Nijenhuis bracket on some functional spaces, to appear in Ann. Polon. Math.. | MR 1610540
The universal connection of an arbitrary system, to appear in Annali di Mat.. | MR 1746921
On the iterated absolute differentiation on some functional bundles, to appear in Arch. Math. (Brno). | MR 1464298
On holonomicity criteria in second order geometry, to appear. | MR 1642743
60th anniversary of birthday of Karel Svoboda (Czech), Pokroky MFA 24 (1979), 53–54. (1979)
Cogitation about differential geometric work of Eduard Čech (Czech), Pokroky MFA 25 (1980), 306–312. (1980) | MR 0624783
Czech geometry in last fourty years and some contemporary trends in differential geometry (Czech), Sborník: Vývoj matematiky v ČSR v období 1945-1985 a její perspektivy, Universita Karlova, Praha 1986, 70–87.
Geometry in contemporary mathematics and its role in education (Czech), Pokroky MFA 34 (1989), 41–54. (1989)
About the testament of Professor Pelíšek (Czech), Pokroky MFA 37 (1992), 303–304. (1992)
Professor Eduard Čech (Czech), Sborník: Brněnská věda a umění meziválečného období (1918-1939) v evropském kontextu, Masarykova universita, Brno 1993, 212–214.
100th anniversary of birthday of Eduard Čech, Arch. Math. (Brno) 29 (1993), i-ii. (1993) | MR 1242621
100th anniversary of birthday of Eduard Čech, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II 37 (1994), 13–14. (1994) | MR 1343996
Some contemporary trends in mathematics and their relations to mathematical physics (Czech), Sborník: University na prahu nového tisíciletí, Masarykova universita, Brno 1995 I, 311–315.
The role of geometry in contemporary mathematics (Czech), Matematika-fyzika-informatika 5 (1995/96), 393–398. (1995/96)
Ladislav Seifert, Folia Historica, Faculty of Science, Masaryk University Brno No 32 (May 1996). (May 1996)
Eduard Čech, Folia Historica, Faculty of Science, Masaryk University Brno No 34 (June 1996). (June 1996)
Erlangen Program (Czech), Matematika v 19. století, Sborník, Prometheus Praha 1996, 83-87. | MR 1889802