Lower bounds for the eigenvalues of the Dirac operator on Spinc manifolds

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Nakad, Roger

关键词: Spin(c) structures;    Dirac operator;    Eigenvalues;    Energy-momentum tensor;    Perturbed Yamabe operator;    Conformal geometry;   

DOI  :  10.1016/j.geomphys.2010.06.002

来源: Elsevier

【 摘 要 】

In this paper, we extend the Hijazi inequality, involving the energy-momentum tensor, to the eigenvalues of the Dirac operator on Spin(c) manifolds without boundary The limiting case is then studied and an example is given (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

Free