On eigenvalue estimates for the Dirac-Witten-type operators

JOURNAL OF GEOMETRY AND PHYSICS

卷:61

Article

Chen, Yongfa

关键词: Dirac-Witten-type operator;    Eigenvalue;    Mean curvature;    Cosmological constant;   

DOI  :  10.1016/j.geomphys.2011.03.015

来源: Elsevier

【 摘 要 】

We give optimal lower bounds for the eigenvalues of the Dirac-Witten-type operators associated with the e(0)-Killing connection and imaginary Killing connection, in terms of the mean curvature and the scalar curvature. The limiting cases are then studied and lead to interesting geometric situations. (C) 2011 Elsevier B.V. All rights reserved.

【 授权许可】

Free