WINTGEN INEQUALITIES ALONG RIEMANNIAN SUBMERSIONS

被引：0

作者：

Polat, Gülistan ^{[1
]}

Lee, Jae Won ^{[2
]}

ahin, Bayram ^{[1
]}

机构：

[1] Ege University, Faculty of Science, Department of Mathematics, Izmir,35100, Turkey

[2] Gyeongsang National University, Department of Mathematics Education and RINS, Jinju,52828, Korea, Republic of

来源：

UPB Scientific Bulletin, Series A: Applied Mathematics and Physics | 2025年 / 87卷 / 02期

基金：

新加坡国家研究基金会;

关键词：

Geometry;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a Wintgen inequality is obtained depending on O'Neill's tensor field T along a Riemannian submersion from a real space form to a Riemannian manifold and the geometric meaning of the equality case is provided. Then, a Wintgen inequality is derived along a Riemannian submersion from a complex space form to a Riemannian manifold, and a geometric result is provided in the case of equality. In addition, a Wintgen inequality is obtained using concepts based on O'Neill's tensor field A, and it is shown that the condition for equality is essentially equivalent to the integrability of the horizontal distribution. This condition is also investigated in the case of a complex space form. © 2025, Politechnica University of Bucharest. All rights reserved.

引用

页码：35 / 44