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https://scholarbank.nus.edu.sg/handle/10635/104062
Title: | Rigidity of Einstein manifolds of nonpositive curvature | Authors: | Leung, M.C. | Keywords: | Einstein manifolds Gauss-Bonnet formula Hyperbolic manifolds Isospectral Rigidity |
Issue Date: | 1997 | Citation: | Leung, M.C. (1997). Rigidity of Einstein manifolds of nonpositive curvature. Differential Geometry and its Application 7 (2) : 181-192. ScholarBank@NUS Repository. | Abstract: | We give sufficient conditions for a compact Einstein manifold of nonpositive sectional curvature to be isometric to a hyperbolic manifold if they have isomorphic fundamental groups. We prove a finiteness result for Einstein metrics on a compact manifold of negative sectional curvature. Spectral rigidity of locally symmetric spaces of negative curvature is considered. | Source Title: | Differential Geometry and its Application | URI: | http://scholarbank.nus.edu.sg/handle/10635/104062 | ISSN: | 09262245 |
Appears in Collections: | Staff Publications |
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