Some Estimates Over Spacelike Spin Hypersurfaces of Lorentzian Manifold

被引：0

作者：

Eker, Serhan ^{[1
]}

机构：

[1] Ibrahim Cecen Univ Agri, Dept Math, Agri, Turkey

来源：

ADVANCES IN APPLIED CLIFFORD ALGEBRAS | 2022年 / 32卷 / 01期

关键词：

Spin manifold; Dirac operator; DIRAC OPERATOR; LOWER BOUNDS; 1ST EIGENVALUE;

D O I：

10.1007/s00006-022-01201-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We generalized the lower bound estimates for eigenvalues of the Dirac operator on spacelike hypersurfaces of Lorentzian manifolds obtained by Yongfa Chen in (Sci China Ser A Math 52(11):2459-2468, 2009) based on the constraint between the scalar curvature of the manifold, energy-momentum tensor and the mean curvature of the manifold. Afterwards, we examined the geometric data in the case of estimation satisfies equality condition.

引用

页数：16

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