Sectional Curvature Rigidity of Asymptotically Locally Hyperbolic Manifolds

Author: Listing M.

Source: Annals of Global Analysis and Geometry, Volume 25, Number 4, June 2004 , pp. 353-364(12)

Publisher: Springer

Abstract:

This paper presents a rigidity result of real hyperbolic quotients in analogy to Min-Oo's result in Math. Ann. 285(4) (1989), 527–539, but without the spin condition. In order to prove this, we use special Killing forms on the exterior form bundle. Moreover, we make an assumption on the sectional curvature to obtain the necessary eigenvalue estimates of the curvature endomorphism in the Bochner–Weitzenböck formula of ^kM.

Keywords: hyperbolic quotient; rigidity; special Killing form

Document Type: Research article

DOI: http://dx.doi.org/10.1023/B:AGAG.0000023244.01594.db

Affiliations: 1: Department of Mathematics, Stony Brook University, Stony Brook, NY 11794-3651, U.S.A., Email: listing@math.sunysb.edu

Publication date: 2004-06-01

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