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

作者：Chen, Yongfa^*

来源：Letters in Mathematical Physics, 2023, 113(3): 72.

DOI：10.1007/s11005-023-01691-x

• Dirac-Witten operator
• Eigenvalue
• Mean curvature
• Scalar curvature

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