Lower Bounds for the Eigenvalues of the Dirac Operator on Spinc Manifolds

被引：0

作者：

Eker, Serhan ^{[1
]}

机构：

[1] Ibrahim Cecen Univ Agri, Dept Math, TR-04000 Agri, Turkey

来源：

IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE | 2020年 / 44卷 / A1期

关键词：

Spin and Spin(c) geometry; Dirac operator; Estimation of eigenvalues; 1ST EIGENVALUE;

D O I：

10.1007/s40995-020-00823-5

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we generalize lower bound estimates for the eigenvalue of the Dirac operator defined on compact Riemannian Spinc-manifold proved by R. Nakad 2010. Then, we improve our estimates in terms of the first eigenvalue of the Yamabe number and energy-momentum tensor.

引用

页码：251 / 257

页数：7

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