Author: Listing M.1
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: 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
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