On eigenvalue estimates for the Dirac operator

Details On eigenvalue estimates for the Dirac operator On eigenvalue estimates for the Dirac operator

2001-03-15

arxiv.org/abs/math/0103095v1

Mathematics

Differential Geometry

15 pages

Scientific paper

We give lower bounds for the eigenvalues of the submanifold Dirac operator in
terms of intrinsic and extrinsic curvature expressions. We also show that the
limiting cases give rise to a class generalizing that of Killing spinors. We
conclude by translating these results in terms of intrinsic twisted Dirac
operators.

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