Teichmüller space of negatively curved metrics on complex hyperbolic manifolds is not contractible

We prove that for all n = 4 k − 2 and k ≥ 2 there exists a closed smooth complex hyperbolic manifold M with real dimension n having non-trivial π 1 ( T

Saved in:
Bibliographic Details
Published in:Science China. Mathematics 2017-04, Vol.60 (4), p.569-580
Main Authors: Farrell, F. Thomas, Sorcar, Gangotryi
Format: Article
Language:English
Subjects:
Applications of Mathematics
Manifolds (mathematics)
Mathematics
Mathematics and Statistics
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We prove that for all n = 4 k − 2 and k ≥ 2 there exists a closed smooth complex hyperbolic manifold M with real dimension n having non-trivial π 1 ( T
ISSN:1674-7283
1869-1862
DOI:10.1007/s11425-016-0351-8