Geometric structures on manifolds and holonomy-invariant metrics

Forum Mathematicum

Volumn 9, Issue 2, 1997, Pages 247-256

  Choi, Suhyoung ^a   Lee, Hyunkoo ^a  

^a Seoul National University   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031285545     PISSN: 09337741     EISSN: None     Source Type: Journal    
DOI: 10.1515/form.1997.9.247     Document Type: Article

References (19)

1. Beardon, A.: The geometry of discrete groups. Springer, Berlin 1983
2. Berger, M.: Geometry I. Springer, Berlin 1987
3. Busemann, H. and Kelly, P.: Projective geometry and projective metrics. Academic Press, New York 1953
4. do Carmo, M.: Riemannian Geometry. Birkhäuser, Boston 1992
5. Choi, S.: Convex decompositions of real projective surfaces I: π-annuli and convexity. J. Differential Geom. 40 (1994), 165-208
6. Choi, S.: Convex decompositions of real projective surfaces II: Admissible decompositions. J. Differential Geom. 40 (1994), 239-283
7. Choi, S.: The Margulis lemma and the thick and thin decomposition for convex real projective surfaces. Adv. Math. 22 (1996), 150-191
8. Choi, S. and Yoon, J.: Real affine structures on two-tori I, in preparation
9. Faltings, G.: Real projective structures on Riemann surfaces. Compositio Math. 48 (1983), 223-269
10. Goldman, W.: Projective structures with Fuchsian holonomy. J. Differential Geom. 25 (1987), 297-326
11. Goldman, W.: Convex real projective structures on compact surfaces. J. Differential Geom. 31 (1990), 791-845
12. Goldman, W. and Kamishima, Y.: Topological rigidity of developing maps with applications to conformally flat manifolds. In: The Geometry of Group Representations, Contemp. Math. 74, pp. 199-203, Amer. Math. Soc. 1988
13. Grove, K.: On the role of singular spaces in Riemannian geometry. In: GARC Lecture Note Series No 17, pp. 275-289, GARC Seoul National University, Seoul 1993
14. Kuiper, N.: On conformally flat spaces in the large. Ann. of Math. 50 (1949), 916-924
15. Kuiper, N.: On compact conformally euclidean spaces of dimension > 2. Ann. of Math. 52 (1950), 478-490
16. Kulkarni, R. and Pinkall, U.: Uniformization of geometric structures with applications to conformal geometry. In: Lecture Notes in Math. No. 1209, pp. 190-209, Springer-Verlag. New York - Berlin - Heidelberg 1986
17. Rushing, B.: Topological Embeddings. Academic Press, New York 1973
18. Sullivan, D. and Thurston, W.: On manifolds with canonical coordinate charts. Enseign. Math. (2) 29 (1983), 15-25
19. Thurston, W.: The Geometry and Topology of 3-Manifolds, lecture notes (revised in 1991)