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We study Gromov–Thurston examples of negatively curved –manifolds which do not admit metrics of constant sectional curvature. We show that for each some of the Gromov–Thurston manifolds admit strictly convex real-projective structures.
Kapovich, Michael 1
@article{GT_2007_11_3_a15, author = {Kapovich, Michael}, title = {Convex projective structures on {Gromov{\textendash}Thurston} manifolds}, journal = {Geometry & topology}, pages = {1777--1830}, publisher = {mathdoc}, volume = {11}, number = {3}, year = {2007}, doi = {10.2140/gt.2007.11.1777}, url = {http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.1777/} }
TY - JOUR AU - Kapovich, Michael TI - Convex projective structures on Gromov–Thurston manifolds JO - Geometry & topology PY - 2007 SP - 1777 EP - 1830 VL - 11 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.1777/ DO - 10.2140/gt.2007.11.1777 ID - GT_2007_11_3_a15 ER -
Kapovich, Michael. Convex projective structures on Gromov–Thurston manifolds. Geometry & topology, Tome 11 (2007) no. 3, pp. 1777-1830. doi : 10.2140/gt.2007.11.1777. http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.1777/
[1] The geometry of discrete groups, Graduate Texts in Mathematics 91, Springer (1983)
,[2] Convexes divisibles I, from: "Algebraic groups and arithmetic", Tata Inst. Fund. Res. (2004) 339
,[3] Convexes hyperboliques et quasiisométries, Geom. Dedicata 122 (2006) 109
,[4] Metric spaces of non-positive curvature, Grundlehren der Mathematischen Wissenschaften 319, Springer (1999)
, ,[5] The deformation spaces of convex $\mathbb{RP}^2$–structures on $2$–orbifolds, Amer. J. Math. 127 (2005) 1019
, ,[6] Topology of metric complexes, Amer. J. Math. 74 (1952) 555
,[7] Sur les groupes hyperboliques d'après Mikhael Gromov, Progress in Mathematics 83, Birkhäuser (1990)
, ,[8] Lecture notes of a course on affine and projective structures on manifolds (1988)
,[9] Convex real projective structures on compact surfaces, J. Differential Geom. 31 (1990) 791
,[10] Pinching constants for hyperbolic manifolds, Invent. Math. 89 (1987) 1
, ,[11] Kleinian groups in higher dimensions (2006)
,[12] Bending deformations of representations of fundamental groups of complexes of groups (1996)
, ,[13] Hodge theory and the art of paper folding, Publ. Res. Inst. Math. Sci. 33 (1997) 1
, ,[14] A convexity theorem for real projective structures
,[15] Variations d'entropies et déformations de structures conformes plates sur les variétés hyperboliques compactes, Ergodic Theory Dynam. Systems 20 (2000) 1735
,[16] Limit sets of geometrically finite hyperbolic groups, Amer. J. Math. 114 (1992) 233
, ,[17] Discrete linear groups that are generated by reflections, Izv. Akad. Nauk SSSR Ser. Mat. 35 (1971) 1072
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