Lower bounds for eigenvalues of the Dirac operator on n-spheres with so(n)-symmetry

Kraus, Margarita (2000) Lower bounds for eigenvalues of the Dirac operator on n-spheres with so(n)-symmetry. JOURNAL OF GEOMETRY AND PHYSICS, 32 (4). pp. 341-348. ISSN 0393-0440

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Abstract

In this paper we derive estimates for the eigenvalues of the Dirac operator and their multiplicity on manifolds diffeomorphic to S-n with an isometric SO(n)-action. Especially we prove a new lower bound for the first eigenvalue and show an example, where this new bound coincides in the limit with the known upper bounds. (C) 2000 Elsevier Science B.V. All right reserved. Subj. Class.: Differential Geometry 1991 MSC: 53C25: 58G25: 58G35.

Item Type: Article
Uncontrolled Keywords: HARMONIC SPINORS; 1ST EIGENVALUE; Dirac operator; spectrum; sphere; SO(n)-action
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 31 May 2022 09:07
Last Modified: 31 May 2022 09:07
URI: https://pred.uni-regensburg.de/id/eprint/42858

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