Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3487
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,
Keywords
Spin geometry, eigenvalues, Dirac operator
First Page
1
Last Page
14
Recommended Citation
EKER, SERHAN
(2024)
"Some estimates on the spin−submanifolds,"
Turkish Journal of Mathematics: Vol. 48:
No.
1, Article 2.
https://doi.org/10.55730/1300-0098.3487
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss1/2
