SHARP INEQUALITIES INVOLVING THE CHEN-RICCI INEQUALITY FOR SLANT RIEMANNIAN SUBMERSIONS

被引：0

作者：

Akyol, Mehmet Akif ^{[1
]}

Poyraz, Nergiz ^{[2
]}

机构：

[1] Bingol Univ, Fac Arts & Sci, Dept Math, TR-12000 Bingol, Turkiye

[2] Cukurova Univ, Fac Arts & Sci, Dept Math, TR-01330 Adana, Turkiye

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 60卷 / 05期

关键词：

Riemannian submersion; slant submersion; Chen-Ricci inequality; Sasakian manifold; horizontal distribution; COMPLEX-SPACE-FORMS; SUBMANIFOLDS; CLASSIFICATION; MANIFOLDS;

D O I：

10.4134/BKMS.b220514

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Main objective of the present paper is to establish Chen inequalities for slant Riemannian submersions in contact geometry. In this manner, we give some examples for slant Riemannian submersions and also investigate some curvature relations between the total space, the base space and fibers. Moreover, we establish Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submersions from Sasakian space forms.

引用

页码：1155 / 1179

页数：25

共 44 条

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