Some estimates on the spin−submanifolds

Authors

SERHAN EKERFollow

Abstract

In this paper, an optimal lower bound is given for the Submanifold Dirac operator in terms of the trace of an Energy−Momentum tensor, scalar curvature and mean curvature. In the equality case, it is proven that the submanifold is Einstein if the normal bundle is flat. Key words: Spin geometry, eigenvalues,

DOI

10.55730/1300-0098.3487

Keywords

Spin geometry, eigenvalues, Dirac operator

First Page

1

Last Page

14

Recommended Citation

EKER, S (2024). Some estimates on the spin−submanifolds. Turkish Journal of Mathematics 48 (1): 1-14. https://doi.org/10.55730/1300-0098.3487