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Lower bounds for the eigenvalue estimates of the submanifold Dirac operator

Lower bounds for the eigenvalue estimates of the submanifold Dirac operator We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied. As a corollary, we can recover several known results in this direction. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Mathematische Zeitschrift Springer Journals

Lower bounds for the eigenvalue estimates of the submanifold Dirac operator

Mathematische Zeitschrift , Volume OnlineFirst – May 22, 2021

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Publisher
Springer Journals
Copyright
Copyright © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2021
ISSN
0025-5874
eISSN
1432-1823
DOI
10.1007/s00209-021-02752-4
Publisher site
See Article on Publisher Site

Abstract

We get optimal lower bounds for the eigenvalues of the submanifold Dirac operator on locally reducible Riemannian manifolds in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied. As a corollary, we can recover several known results in this direction.

Journal

Mathematische ZeitschriftSpringer Journals

Published: May 22, 2021

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