Lower Bounds for the Eigenvalues of the Dirac Operator on $Spin^c$ Manifolds

Details Lower Bounds for the Eigenvalues of the Dirac Operator on $Spin^c$ Manifolds Lower Bounds for the Eigenvalues of the Dirac Operator on $Spin^c$ Manifolds

2010-07-28

arxiv.org/abs/1007.4924v1

J. Geom. Phys 60 (2010), 1634-1642

Mathematics

Differential Geometry

17 pages

Scientific paper

In this paper, we extend the Hijazi inequality, involving the Energy-Momentum
tensor, for the eigenvalues of the Dirac operator on $Spin^c$ manifolds without
boundary. The limiting case is then studied and an example is given.

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