[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.b181193

RIGIDITY OF COMPLETE RIEMANNIAN MANIFOLDS WITH VANISHING BACH TENSOR

Huang, Guangyue (Department of Mathematics Henan Normal University)
Ma, Bingqing (Department of Mathematics Henan Normal University)

Publication Information

Bulletin of the Korean Mathematical Society / v.56, no.5, 2019 , pp. 1341-1353 More about this Journal

Abstract

For complete Riemannian manifolds with vanishing Bach tensor and positive constant scalar curvature, we provide a rigidity theorem characterized by some pointwise inequalities. Furthermore, we prove some rigidity results under an inequality involving $L^{\frac{n}{2}}$ -norm of the Weyl curvature, the traceless Ricci curvature and the Sobolev constant.

Keywords

Sobolev constant; rigidity; vanishing Bach tensor;

Citations & Related Records

Reference

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