Pinching Theorems for a Vanishing C-Bochner Curvature Tensor

Jae Won Lee and Chul Woo Lee
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Jae Won Lee: Department of Mathematics Education and RINS, Gyeongsang National University, Jinju 52828, Korea
Chul Woo Lee: Department of Mathematics, Kyungpook National University, Daegu 41566, Korea

Mathematics, 2018, vol. 6, issue 11, 1-11

Abstract: 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.

Keywords: C-Bochner tensor; generalized normalized δ -Casorati curvature; Sasakian manifold; slant; invariant; anti-invariant (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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