Hyperbolic Ricci solitons on sequential warped product manifolds

被引：1
|
作者：
Kaya, Dilek Acikgoz [1 ]
Ozgur, Cihan [2 ]
机构：
[1] Aydın Adnan Menderes Univ, Dept Math, TR-09010 Aydin, Turkiye
[2] Izmir Democracy Univ, Dept Math, Turkiye, TR-35140 Izmir, Turkiye
来源：
FILOMAT | 2024年 / 38卷 / 03期
关键词：
Ricci soliton; hyperbolic Ricci soliton; warped product manifold; sequential warped product manifold; Killing vector field; conformal vector field; GRADIENT;
D O I：
10.2298/FIL2403023A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study hyperbolic Ricci solitons on sequential warped products. The necessary conditions are obtained for a hyperbolic Ricci soliton with the structure of a sequential warped product to be an Einstein manifold when we consider the potential field as a Killing or a conformal vector field. Some physical applications are also given.
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页码：1023 / 1032
页数：10
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