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