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Ricci solitons on singly warped product manifolds and applications
Journal of Geometry and Physics ( IF 1.5 ) Pub Date : 2021-04-20 , DOI: 10.1016/j.geomphys.2021.104257
Uday Chand De , Carlo Alberto Mantica , Sameh Shenawy , Bülent Ünal

The purpose of this article is to study implications of a Ricci soliton warped product manifold to its base and fiber manifolds. First, it is proved that if a warped product manifold is Ricci soliton then its factors are Ricci soliton. Then we study Ricci soliton on warped product manifolds admitting either a conformal vector field or a concurrent vector field. Finally, we study Ricci soliton on some warped product space-times.



中文翻译:

Ricci孤子在单翘产品歧管及其应用上的应用

本文的目的是研究Ricci孤子翘曲的产品歧管对其基础和纤维歧管的影响。首先,证明了如果翘曲积流形为Ricci孤子,则其因子为Ricci孤子。然后,我们在允许保形向量场或并发向量场的扭曲积流形上研究Ricci孤子。最后,我们在某些翘曲的产品时空上研究了Ricci孤子。

更新日期:2021-04-23
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