Chen inequalities for slant Riemannian submersions from cosymplectic space forms

被引：0

作者：

Poyraz, Nergiz Onen ^{[1
]}

Akyol, Mehmet Akif ^{[2
]}

机构：

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

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

来源：

FILOMAT | 2023年 / 37卷 / 11期

关键词：

Riemannian submersion; Slant submersion; Chen inequality; Cosymplectic manifold; Vertical distribution; RICCI CURVATURE; SUBMANIFOLDS; MANIFOLDS; CLASSIFICATION;

D O I：

10.2298/FIL2311615O

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce Chen inequalities for slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We provide trivial and non-trivial examples for slant Riemannian submersions, investigate some curvature relations between the total space, the base space and fibres. Moreover, we obtain Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submersions from cosymplectic space forms.

引用

页码：3615 / 3629

页数：15

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