A NEW UPPER BOUND FOR THE DIRAC OPERATORS ON HYPERSURFACES

作者:Ginoux Nicolas*; Habib Georges; Raulot Simon
来源:Pacific Journal of Mathematics, 2015, 278(1): 79-101.
DOI:10.2140/pjm.2015.278.79

摘要

We prove a new upper bound for the first eigenvalue of the Dirac operator of a compact hypersurface in any Riemannian spin manifold carrying a nontrivial twistor-spinor without zeros on the hypersurface. The upper bound is expressed as the first eigenvalue of a drifting Schrodinger operator on the hypersurface. Moreover, using a recent approach developed by O. Hijazi and S. Montiel, we completely characterize the equality case when the ambient manifold is the standard hyperbolic space.

  • 出版日期2015-11

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