Teichmller space of negatively curved metrics on complex hyperbolic manifolds is not contractible

被引：0

作者：

FARRELL F.Thomas ^{[1
]}

SORCAR Gangotryi ^{[2
]}

机构：

[1] Yau Mathematical Sciences Center and Department of Mathematical Sciences,Tsinghua University

[2] Department of Mathematics, Ohio State University

来源：

Science China Mathematics | 2017年 / 60卷 / 04期

关键词：

space of Riemannian metrics; negative curvature; complex hyperbolic space;

D O I：

暂无

中图分类号：

O186.12 [黎曼几何];

学科分类号：

070104 ;

摘要：

We prove that for all n = 4k- 2 and k 2 there exists a closed smooth complex hyperbolic manifold M with real dimension n having non-trivial π1(T<0(M)). T<0(M) denotes the Teichm¨uller space of all negatively curved Riemannian metrics on M, which is the topological quotient of the space of all negatively curved metrics modulo the space of self-diffeomorphisms of M that are homotopic to the identity.

引用

页码：569 / 580

页数：12