EINSTEIN CONDITIONS FOR THE BASE SPACE OF ANTI-INVARIANT RIEMANNIAN SUBMERSIONS AND CLAIRAUT SUBMERSIONS

被引：24

作者：

Lee, Jungchan ^{[1
]}

Park, JeongHyeong ^{[1
]}

Sahin, Bayram ^{[2
]}

Song, Dae-Yup ^{[3
]}

机构：

[1] Sungkyunkwan Univ, Dept Math, Suwon 440746, South Korea

[2] Inonu Univ, Dept Math, TR-44280 Malatya, Turkey

[3] Sunchon Natl Univ, Dept Phys Educ, Jeonnam 540742, South Korea

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Riemannian submersion; Einstein manifold; Anti-invariant submersion; Clairaut submersion; MANIFOLDS;

D O I：

10.11650/tjm.19.2015.5283

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the geometry of anti-invariant Riemannian submersions from a Kahler manifold onto a Riemannian manifold. We first determine the base space when the total space of an anti-invariant Riemannian submersion is Einstein and then we investigate new conditions for anti-invariant Riemannian submersions to be Clairaut submersions. We also focus on the geometry of Clairaut anti-invariant submersions.

引用

页码：1145 / 1160

页数：16

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