@book{MSMF_1999_2_78__1_0,
author = {Choi, Suhyoung},
title = {The convex and concave decomposition of manifolds with real projective structures},
series = {M\'emoires de la Soci\'et\'e Math\'ematique de France},
year = {1999},
publisher = {Soci\'et\'e math\'ematique de France},
number = {78},
doi = {10.24033/msmf.391},
mrnumber = {2001j:57030},
zbl = {0965.57016},
language = {en},
url = {https://www.numdam.org/item/MSMF_1999_2_78__1_0/}
}
TY - BOOK AU - Choi, Suhyoung TI - The convex and concave decomposition of manifolds with real projective structures T3 - Mémoires de la Société Mathématique de France PY - 1999 IS - 78 PB - Société mathématique de France UR - https://www.numdam.org/item/MSMF_1999_2_78__1_0/ DO - 10.24033/msmf.391 LA - en ID - MSMF_1999_2_78__1_0 ER -
%0 Book %A Choi, Suhyoung %T The convex and concave decomposition of manifolds with real projective structures %S Mémoires de la Société Mathématique de France %D 1999 %N 78 %I Société mathématique de France %U https://www.numdam.org/item/MSMF_1999_2_78__1_0/ %R 10.24033/msmf.391 %G en %F MSMF_1999_2_78__1_0
Choi, Suhyoung. The convex and concave decomposition of manifolds with real projective structures. Mémoires de la Société Mathématique de France, Nouvelle série, no. 78 (1999), 112 p. doi: 10.24033/msmf.391
[1] ET Geometry, Topology, and Physics, W. de Gruyter, Berlin, New York, 1997.
[2] - On certain radiant affine manifolds, preprint, 1997.
[3] , Structures affines radiales sur les variétés de Seifert, preprint, 1997.
[4] , Variétés affines radiales de dimension trois, preprint, 1997.
[5] - Nilvariétés projectives, Comment. Math. Helv. 69 (1994), p. 447-473. | Zbl | MR
[6] - Variétés localement affines et projectives, Bull. Soc. Math. France 88 (1960), p. 229-332. | Zbl | MR | Numdam
[7] - Geometry I, Springer-Verlag, New York, 1987. | Zbl
[8] - Autour de la conjecture de L. Markus sur les variétés affines, Invent. Math. 95 (1989), p. 615-628. | Zbl | MR
[9] , Questions ouvertes sur les variétés affines, Séminaire Gaston Darboux de Géométrie et Topologie Différentielle (Montpellier) 1991-1992, (Univ. Montpellier II. Montpellier), 1993, p. 69-72. | Zbl | MR
[10] - Convex decompositions of real projective surfaces. I: π-annuli and convexity, J. Differential Geom. 40 (1994), p. 165-208. | Zbl | MR
[11] , Convex decompositions of real projective surfaces. II: admissible decompositions, J. Differential Geom. 40 (1994), p. 239-283. | Zbl | MR
[12] , i-convexity of manifolds with real projective structures, Proc. Amer. Math. Soc. 122 (1994), p. 545-548. | Zbl | MR
[13] , Convex decompositions of real projective surfaces. III : for closed and nonorientable surfaces, J. Korean Math. Soc. 33 (1996), p. 1138-1171. | Zbl | MR
[14] , The decomposition and classification of radiant affine 3-manifold, GARC preprint 97-74, dg-ga/9712006, 1997.
[15] , The universal cover of an affine three-manifold with holonomy of discompactedness two, in Apanasov et al. [1], p. 107-118. | Zbl | MR
[16] , The universal cover of an affine three-manifold with holonomy of infinitely shrinkable dimension ≤ 2, submitted, dg-ga/9706011, 1997.
[17] ϑ - The classification of real projective structures on compact surfaces, Bull. Amer. Math. Soc. 34 (1997), p. 161-171. | Zbl | MR
[18] , - (eds.) - Proceedings of the conference on geometric structures on manifolds, in preparation. | Zbl
[19] - Solvariétés projectives de dimension 3, Ph. D. Thesis, Université Paris 7, 1998.
[20] - Convexity, Cambridge University Press, 1977.
[21] - Projective structures with Fuchsian holonomy, J. Differential Geom. 25 (1987), p. 297-326. | Zbl | MR
[22] , - Convex real projective structures on surfaces, J. Differential Geom. 31 (1990), p. 791-845. | Zbl | MR
[23] - Geometry of left-symmetric algebra, J. Korean Math. Soc. 33 (1996), p. 1047-1067. | Zbl | MR
[24] - Projectively invariant distances for affine and projective structures, Differential Geometry, Banach Center Publication, vol. 12, Polish Scientific Publishers, Warsaw, 1984, p. 127-152. | Zbl | MR
[25] - On compact conformally euclidean spaces of dimension > 2, Ann. Math. 52 (1950), p. 487-490. | Zbl | MR
[26] - The projective interpretation of the eight 3-dimensional homogeneous geometries, Beiträge zur Algebra und Geometrie 38 (1997), p. 262-288. | Zbl | MR
[27] ϑ - The affine structures on the real two torus. I, Osaka J. Math. 11 (1974), p. 181-210. | Zbl | MR
[28] - Foundations of hyperbolic manifolds, GTM 149, Springer, New York, 1994. | Zbl | MR
[29] - The geometries of 3-manifolds, Bull. London Math. Soc. 15 (1983), p. 401-487. | Zbl | MR
[30] - Poliedros de Dirichlet de 3-variedades conicas y sus deformaciones, Ph. D. Thesis, Univ. Madrid, 1998.
[31] ϑ - Manifolds with canonical coordinate charts: Some examples, Enseign. Math 29 (1983), p. 15-25. | Zbl | MR
[32] - Einheitliche Beschreibung der acht Thurstonschen Geometrien, Diplomarbeit, Universität zu Göttingen, 1997.
Cité par Sources :






