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math.DG2001★ 7 cited
Eigenvalue estimates for the Dirac operator depending on the Weyl curvature tensor
Thomas Friedrich, Klaus-Dieter Kirchberg
We prove new lower bounds for the first eigenvalue of the Dirac operator on compact manifolds whose Weyl tensor or curvature tensor, respectively, is divergence free. In the specia…
math.DG2001
Eigenvalue estimates of the Dirac operator depending on the Ricci tensor
Thomas Friedrich, Klaus-Dieter Kirchberg
We prove a new lower bound for the first eigenvalue of the Dirac operator on a compact Riemannian spin manifold by refined Weitzenböck techniques. It applies to manifolds with harm…