Convex real projective structures and Weil's local rigidity theorem

被引：0
|
作者：
Kim, Inkang [1 ]
Zhang, Genkai [2 ]
机构：
[1] KIAS, Sch Math, Heogiro 85, Seoul 130722, South Korea
[2] Gothenburg Univ, Chalmers Univ Technol & Math Sci, Math Sci, SE-41296 Gothenburg, Sweden
来源：
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2018年 / 116卷
关键词：
Zariski tangent space; Real projective structure; Weil's local rigidity; LIE-GROUPS; SURFACES; SPACE;
D O I：
10.1016/j.matpur.2018.06.001
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For an n-dimensional real hyperbolic manifold M, we calculate the Zariski tangent space of a character variety chi(pi(1)(M), SL(n +1, R), n > 2 at Fuchsian locus to show that the tangent space consists of cubic forms. Furthermore we prove the Weil's local rigidity theorem for uniform hyperbolic lattices using real projective structures. (C) 2018 Elsevier Masson SAS. All rights reserved.
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页码：40 / 51
页数：12
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