[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.j200086

RIGIDITY CHARACTERIZATIONS OF COMPLETE RIEMANNIAN MANIFOLDS WITH α-BACH-FLAT

Huang, Guangyue (College of Mathematics and Information Science Henan Normal University)
Zeng, Qianyu (College of Mathematics and Information Science Henan Normal University)

Publication Information

Journal of the Korean Mathematical Society / v.58, no.2, 2021 , pp. 401-418 More about this Journal

Abstract

For complete manifolds with α-Bach tensor (which is defined by (1.2)) flat, we provide some rigidity results characterized by some point-wise inequalities involving the Weyl curvature and the traceless Ricci curvature. Moveover, some Einstein metrics have also been characterized by some $L^{\frac{n}{2}}$ -integral inequalities. Furthermore, we also give some rigidity characterizations for constant sectional curvature.

Keywords

${\alpha}$ -Bach-flat; rigidity; Sobolev constant; Einstein;

Citations & Related Records

Reference

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