@article{CM_1978__37_1_103_0, author = {Buchner, Michael A.}, title = {The structure of the cut locus in dimension less than or equal to six}, journal = {Compositio Mathematica}, volume = {S37}, year = {1978}, pages = {103-119}, mrnumber = {501100}, zbl = {0407.58008}, language = {en}, url = {http://dml.mathdoc.fr/item/CM_1978__37_1_103_0} }
Buchner, Michael A. The structure of the cut locus in dimension less than or equal to six. Compositio Mathematica, Tome S37 (1978) pp. 103-119. http://gdmltest.u-ga.fr/item/CM_1978__37_1_103_0/
[1] Stability of the cut locus in dimensions less than or equal to six. Inventiones Math., 43 (1977) 199-231. | MR 482816 | Zbl 0365.58010
:[2] Triangulation of the Real Analytic Cut Locus. Proc. of the A.M.S. Vol. 64, No. 1, May 1977. | MR 474133
:[3] Oscillatory integrals, Lagrange immersions and unfoldings of singularities. Comm. Pure Appl. Math., vol. XXVII (1974) 207-281. | MR 405513 | Zbl 0285.35010
:[4] Stability of C∞ mappings II. Infinitesimal stability implies stability. Ann. of Math. vol. 89 (1969) 254-291. | Zbl 0177.26002
:[5] Stability of C∞ mappings, IV; Classification of stable germs by R-algebras. IHES No. 37 (1969) 223-248. | Numdam | Zbl 0202.55102
:[6] Stability of C∞ mappings, V, transversality. Advances in Mathematics, 4 (1970) 301-336. | Zbl 0207.54303
:[7] Connections between differential geometry and topology: I. Simply connected surfaces. Duke Math. J., 1 (1935) 376-391. | JFM 61.0787.02 | MR 1545884 | Zbl 0012.27502
:[8] Connections between differential geometry and topology: II. Closed surfaces. Duke Math. J., 2 (1936) 95-102. | JFM 62.0861.02 | MR 1545908 | Zbl 0013.32201
:[9] Cut loci in Riemannian manifolds. Tohoku Math. J. Second Series 26 (1974) 219-227. | MR 390967 | Zbl 0285.53034
:[10] 6 (1905) 243. | JFM 36.0669.01
: Trans. Amer. Math. Soc.,[11] A regularity theorem for conservation laws. Advances in Mathematics 11 (1973) 368-386. | MR 326178 | Zbl 0267.35009
:[12] Temporal evolution of catastrophes in Topology and its Applications, edited by S. Thomeier. Marcel Dekker, Inc. N.Y. | MR 372925 | Zbl 0305.57026
:[13] Stability of unfoldings. Lecture Notes in Mathematics 393 (1974). | MR 410789 | Zbl 0288.57017
:[14] The cut locus and conjugate locus of a Riemannian manifold. Ann. of Math., 87 (1968) 29-41. | MR 221434 | Zbl 0159.23902
:[15] On the covering of a complete space by the geodesics through a point. Ann. of Math., 36 (1935) 679-704. | MR 1503245 | Zbl 0012.27802
:[16] La théorie des catastrophes iv. Déploiments universels et leurs catastrophes. Ann. Inst. Henri Poincaré, Vol. XXIV, No. 3 (1976) 261-300. | Numdam | MR 426023 | Zbl 0407.58015
, and :[17] The existence of nontriangulable cut loci. Bull. Amer. Math. Soc., 82 (1976) 599-602. | MR 415539 | Zbl 0338.53045
, :