THE WARPED PRODUCT MANIFOLD AS A GRADIENT RICCI SOLITON AND RELATION TO ITS COMPONENTS

被引：9

作者：

Gunsen, Seckin ^{[1
]}

Onat, Leyla ^{[1
]}

Kaya, Dilek Acikgoz ^{[1
]}

机构：

[1] Adnan Menderes Univ, Fac Arts & Sci, Dept Math, TR-09010 Aydin, Turkey

来源：

COMPTES RENDUS DE L ACADEMIE BULGARE DES SCIENCES | 2019年 / 72卷 / 08期

关键词：

warped product; gradient Ricci soliton; generalized m-quasi-Einstein; conformal vector field; CLASSIFICATION; COMPACT;

D O I：

10.7546/CRABS.2019.08.03

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we consider a Riemannian warped product as a gradient Ricci soliton. We conclude that the base is a generalized m-quasi-Einstein manifold and M is isometric to S-n x (f) F-m, R-n x (f) F-m or H-n x (f) F-m when del phi is conformal. We also investigate the potential function of the gradient Ricci soliton M as a lift of a function defined on the fiber F.

引用

页码：1015 / 1023

页数：9

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