MASS ENDOMORPHISM, SURGERY AND PERTURBATIONS

Ammann, Bernd and Dahl, Mattias and Hermann, Andreas and Humbert, Emmanuel (2014) MASS ENDOMORPHISM, SURGERY AND PERTURBATIONS. ANNALES DE L INSTITUT FOURIER, 64 (2). pp. 467-487. ISSN 0373-0956,

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Abstract

We prove that the mass endomorphism associated to the Dirac operator on a Riemannian manifold is non-zero for generic Riemannian metrics. The proof involves a study of the mass endomorphism under surgery, its behavior near metrics with harmonic spinors, and analytic perturbation arguments.

Item Type: Article
Uncontrolled Keywords: DIRAC OPERATOR; SCALAR CURVATURE; EIGENVALUE; MANIFOLDS; Dirac operator; mass endomorphism; surgery
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Bernd Ammann
Depositing User: Dr. Gernot Deinzer
Date Deposited: 28 Nov 2019 11:06
Last Modified: 28 Nov 2019 11:06
URI: https://pred.uni-regensburg.de/id/eprint/10863

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