English

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

Differential Geometry 2023-07-12 v1 Mathematical Physics math.MP

Abstract

We get optimal lower bounds for the eigenvalues of the Dirac-Witten operator on locally reducible spacelike submanifold in terms of intrinsic and extrinsic expressions. The limiting-cases are also studied.

Keywords

Cite

@article{arxiv.2011.07224,
  title  = {Eigenvalue estimate for the Dirac-Witten operator on locally reducible Riemannian manifolds},
  author = {Yongfa Chen},
  journal= {arXiv preprint arXiv:2011.07224},
  year   = {2023}
}