具有四分之一对称连接的拟常曲率Riemann流形子流形的最优不等式

Bulletin of the Transilvania University of Brasov Series V Economic Sciences Pub Date : 2022-12-29 DOI:10.31926/but.mif.2022.2.64.2.9

Z. Jabeen, M. Lone, S. Sharma

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引用次数: 0

摘要

本文得到了具有一类特殊四分对称连接的拟常曲率黎曼流形的子流形的Chen不等式，并讨论了这些不等式的相等情况。我们还得到了具有四分之一对称连接的拟常曲率黎曼流形中子流形的一些Casorati不等式。

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Optimal inequalities for submanifolds of Riemann manifolds of nearly quasi-constant curvature with quarter-symmetric connection

In this paper, we obtain Chen inequalities for submanifolds in Riemannian manifolds of nearly quasi-constant curvature with a special kind of quartersymmetric connection and discuss the equality case of the inequalities. We also obtain some Casorati inequalities for submanifolds in Riemannian manifolds of nearly quasi-constant curvature with the quarter-symmetric connection.

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Bulletin of the Transilvania University of Brasov Series V Economic Sciences

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审稿时长

11 weeks