The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds-Reference-Cited by-同舟云学术

The first eigenvalue of the Dirac operator on locally reducible Riemannian manifolds

Published:2007-01 Issue:2 Volume:57 Page:467-472
ISSN:0393-0440
Container-title:Journal of Geometry and Physics
language:en
Short-container-title:Journal of Geometry and Physics

Author:

Alexandrov Bogdan

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference13 articles.

1. An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one-form;Alexandrov;J. Geom. Phys.,1998

2. A unique continuation theorem for solutions of elliptic partial differential equations or inequalities of second order;Aronszajn;J. Math. Pures Appl.,1957

3. Real Killing spinors and holonomy;Bär;Comm. Math. Phys.,1993

4. Der erste Eigenwert des Dirac–Operators einer kompakten, Riemannschen Mannigfaltigkeit nichtnegativer Skalarkrümmung;Friedrich;Math. Nachr.,1980

5. O. Hijazi, Opérateurs de Dirac sur le variétés riemanniennes. Minoration des valeurs propres, Thèse de 3-eme Cycle, Ecole Polytechnique, 1984

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