Lower Bounds for the Eigenvalues of the Dirac Operator on $Spi{n}^c$ Manifolds

Abstract

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

17 pages

References in corpus (2)

• Energy-Momentum tensor on foliations
• The Energy-Momentum tensor on $Spi{n}^c$ manifolds

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