Warped product spaces with Ricci conditions

被引：10

作者：

Lee, Sang Deok ^{[1
]}

Kim, Byung Hak ^{[2
]}

Choi, Jin Hyuk ^{[3
]}

机构：

[1] Dankook Univ, Dept Math, Cheonan, South Korea

[2] Kyung Hee Univ, Dept Appl Math, Yongin, South Korea

[3] Kyung Hee Univ, Humanitas Coll, Yongin, South Korea

来源：

TURKISH JOURNAL OF MATHEMATICS | 2017年 / 41卷 / 06期

关键词：

Ricci curvature; warped product space; Ricci soliton; SOLITONS; COMPACT;

D O I：

10.3906/mat-1606-49

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the Ricci soliton in the Riemannian products M = R-n x B and warped products M = R x (f) B of the Euclidean space and Riemannian manifolds, and the gradient Ricci soliton in the warped products M = S-1 x (f) B of 1-dimensional circle and Riemannian manifolds. Moreover, we introduce the concept of the generalized Ricci soliton and we suggest the method of construction of the Riemannian manifold (M, g) with a Ricci soliton Finally, we also study the Lorentzian warped products with the Ricci soliton.

引用

页码：1365 / 1375

页数：11

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