Lower bounds for the eigenvalue estimates of the submanifold Dirac operator

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, one gets several known results in this direction.

References in corpus (5)

• Eigenvalue estimates for the Dirac-Schrödinger operators
• Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length
• Eigenvalue estimates for the Dirac operator and harmonic 1-forms of constant length
• The First Dirac Eigenvalue on Manifolds with Positive Scalar Curvature
• Lower bounds of the Dirac eigenvalues on compact Riemannian spin manifolds with locally product structure

Cited by in corpus (1)

• Eigenvalue estimate for the Dirac-Witten operator on locally reducible Riemannian manifolds