Pinching Theorems for a Vanishing C-Bochner Curvature Tensor

Mathematics

JaeWon Lee¹  ChulWoo Lee² 

[1] Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea;Department of Mathematics, Kyungpook National University, Daegu 41566, Korea;

关键词: C-Bochner tensor;    generalized normalized δ-Casorati curvature;    Sasakian manifold;    slant;    invariant;    anti-invariant;   

DOI  :  10.3390/math6110231

来源: DOAJ

【 摘 要 】

The main purpose of this article is to construct inequalities between a main intrinsic invariant (the normalized scalar curvature) and an extrinsic invariant (the Casorati curvature) for some submanifolds in a Sasakian manifold with a zero C-Bochner tensor.

【 授权许可】

Unknown