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.
Eigenvalue estimate for the Dirac-Witten operator on locally reducible Riemannian manifolds
On eigenvalue estimates for the Dirac operator
Weierstrass Relation for a Submanifold $S^k$ in $\EE^n$ Coming from Submanifold Dirac Operator
![QR code for arXiv:2010.13016 [math.DG]](http://oss.arxitics.com/images/favicon.svg)