✦ LIBER ✦

A new method for eigenvalue estimates for Dirac operators on certain manifolds with Sk-symmetry

✍ Scribed by Margarita Kraus; Christiane Tretter

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 147 KB
Volume: 19
Category: Article
ISSN: 0926-2245
DOI: 10.1016/s0926-2245(02)00142-0

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✦ Synopsis

We prove estimates for the first nonnegative eigenvalue of the Dirac operator on certain manifolds with SO(k + 1)-symmetry in terms of geometric properties of the manifold. For the proof we employ an abstract technique which is new in this context and may apply to other cases of manifolds as well.