@article{AIHPA_1997__66_3_323_0,
author = {Egloff, Daniel},
title = {Uniform Finsler Hadamard manifolds},
journal = {Annales de l'I.H.P. Physique th\'eorique},
volume = {67},
year = {1997},
pages = {323-357},
mrnumber = {1456516},
zbl = {0919.53020},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPA_1997__66_3_323_0}
}
Egloff, Daniel. Uniform Finsler Hadamard manifolds. Annales de l'I.H.P. Physique théorique, Tome 67 (1997) pp. 323-357. http://gdmltest.u-ga.fr/item/AIHPA_1997__66_3_323_0/
[1] and , Positive Harmonic Functions on Complete Manifolds of Negative Curvature, Annals of Math., Vol. 121, 1985, pp. 429-461. | MR 794369 | Zbl 0587.53045
[2] , and , The Theory of Sprays and Finsler Spaces with Applications in Physics and Biology, Kluver Academic Pub., 1993. | MR 1273129 | Zbl 0821.53001
[3] , Finsler Geometry, Relativity and Gauge Theories, D. Reidel, 1985. | MR 827217 | Zbl 0576.53001
[4] , On Curvature in Finsler Geometry, Trans. Amer. Math. Soc., Vol. 79, 1955, pp. 378-388. | MR 71833 | Zbl 0066.16202
[5] , and , Manifolds of Nonpositive Curvature, Progr. in Math., Vol. 61, Birkhäuser 1985. | MR 823981 | Zbl 0591.53001
[6] and , On a Notable Connection in Finsler Geometry, Houston J. of Math. Vol. 19, No. 1, 1993, pp. 135-180. | MR 1218087 | Zbl 0787.53018
[7] and , Multidimensional Generalized Riemannian Spaces, Geometry IV, Encyclop. of Math. Sciences, Vol. 70, Springer, 1993. | MR 1263965 | Zbl 0781.53049
[8] , Über die n-dimensionalen Geometrien konstanter Krümmung bei denen die Geraden die Kürzesten sind, Math. Zeitschr., Vol. 30, 1930, pp. 449-469. | JFM 55.0405.14
[9] , Über Finslersche und Cartansche Geometrie I, Mathematica, Vol. 17, 1941, pp. 34-58. | JFM 67.0673.02 | MR 6491
[10] , and , A. D. Alekandrov's Space with Curvature bounded from below I, preprint.
[11] , The Geometry of Geodesics, Academic Press, New York, 1955. | MR 75623 | Zbl 0112.37002
[12] , Intrinsic Area, Ann. Math., Vol. 48, 1947, pp. 234-267. | MR 20626 | Zbl 0029.35301
[13] , Spaces with Non-Positive Curvature, Acta Math., Vol. 80, 1948, pp. 259-310. | MR 29531 | Zbl 0038.10005
[14] , Recent Synthetic Differential Geometry, Ergeb. der Math. und ihrer Grenzgebiete, Vol. 54, Springer, 1970. | MR 296877 | Zbl 0194.53701
[15] , Timelike Spaces, Dissert. Math, No. 53, 1967. | MR 220238 | Zbl 0156.43201
[16] , Problem IV, Desarguesian Spaces; in Mathematical Developments arising from Hilbert Problems, Proc. Symp. in Pure Math, Vol. 28, 1976, pp. 131-141 | MR 430935 | Zbl 0352.50010
[17] , Quasi-Hyperbolic Geometry, Rend. Circ. Matem. Palermo, Serie II, IV, 1955, pp. 1-14.
[18] and , On the Foundations of Calculus of Variations, Trans. Amer. Math. Soc., Vol. 49, 1941, pp. 173-198. | JFM 67.1036.03 | MR 3475 | Zbl 0024.41703
[19] and , Projective Geometry and Projective Metrics, Academic Press, New York, 1953. | MR 54980 | Zbl 0052.37305
[20] and , Spaces with Distinguished Geodesics, Monographs and Textbooks in Pure and Appl. Math., No. 108, 1987. | MR 896903 | Zbl 0631.53001
[21] and , Two Theorems on General Symmetric Spaces, Pacific J. of Math., Vol. 92, 1981, pp. 39-48. | MR 618044 | Zbl 0458.53031
[22] , Les espaces de Finsler, Actualités Scientifiques et Industrielles, No. 79, Paris, Hermann, 1934. | JFM 60.0648.04 | Zbl 0008.41805
[23] , Propriétés globales des géodésiques des espaces de Finsler, Thèse No. 575, Publ. Math., Lyon, 1969.
[24] , Geodesic Flow in certain Manifolds without Conjugate Points, Trans. Amer. Math. Soc., Vol. 167, 1972, pp. 151-170. | MR 295387 | Zbl 0209.53304
[25] and , Visibility Manifolds, Pacific J. Math., Vol. 46, 1973, pp. 45-109. | MR 336648 | Zbl 0264.53026
[26] , Some New Developments in Finsler Geometry, Dissertation, Univ. Fribourg, 1995.
[27] , On the Dynamics of Uniform Finsler Manifolds of Negative Flag Curvature, Preprint, Univ. Fribourg, 1995. | MR 1448718
[28] , Hilbert Geometries, Preprint, Univ. Fribourg, 1996.
[29] , Über Kurven und Flächen in allgemeinen Räumen, Birkhäuser Verlag, Basel, 1951. | MR 42195 | Zbl 0044.37003
[30] , Géométrie des équations différentielles du second ordre, Ann. Inst. Henri Poincaré, Vol. 45, No. 1 1986, pp. 1-28. | Numdam | MR 856446 | Zbl 0624.58011
[31] , Réductibilité de systèmes dynamiques variationnels, Ann. Inst. Henri Poincaré, Vol. 45, No. 4, 1986, pp. 359-388. | Numdam | MR 880743 | Zbl 0614.70017
[32] , Estimation de l'entropie des systèmes lagrangiens sans points conjugués, Ann. Inst. Henri Poincaré, Vol. 57, No. 2, 1992, pp. 117-146. | Numdam | MR 1184886 | Zbl 0806.58029
[33] , Cours de troisième cycle, École Polytechnique Palaiseau, 1992.
[34] , Über Geometrien bei denen die Geraden die Kürzesten sind, Math. Annalen, Vol. 101, 1929, pp. 226-237. | JFM 55.1043.01 | MR 1512527
[35] , Structure presque-tangente et connexions, I and II, Ann. Inst. Fourier, Vol. 22, No. 1, 1972, pp. 287-334, No. 3, 1972, pp. 291-338. | Numdam | MR 336636 | Zbl 0219.53032
[36] , and , Structure métriques pour les variétés Riemanniennes, Cedic/Fernand Nathan, Paris, 1981. | MR 682063 | Zbl 0509.53034
[37] and , Geometry of Horospheres, J. Diff. Geom., Vol. 12, 1977, pp. 481-491. | MR 512919 | Zbl 0434.53038
[38] , Bonnet's Theorem in two-dimensional G-Spaces, Comm. Pure Appl. Math., Vol. 14, 1961, pp. 765-784. | MR 137081 | Zbl 0104.16801
[39] , Ergodic Properties of Degenerate Integrable Hamiltonian Systems, Math. USSR-Izv., Vol. 7, 1973, pp. 535-571. | Zbl 0316.58010
[40] and , Curvature in Hilbert Geometry, Pacific J. Math., Vol. 8, 1958, pp. 119-125. | MR 96261 | Zbl 0081.16401
[41] , Geodätischer Fluss auf Mannigfaltikeiten vom hyperbolischen Typ, Invent. Math., Vol. 14, 1971, pp. 63-82. | MR 296975 | Zbl 0219.53037
[42] , On Space with Negative Curvature, Mat. Tidsskrift B, 1952, pp. 66-89. | MR 55012 | Zbl 0048.40502
[43] , Lectures on Differential Geometry, Prentice-Hall Inc., 1964. | MR 193578 | Zbl 0129.13102
[44] , Geometry of the Katok Examples, Ergod. Th. and Dynam. Sys., Vol. 3, 1983, pp. 135-157. | MR 743032 | Zbl 0559.58027