Almost *-η-Ricci soliton on three-dimensional trans-Sasakian manifolds

被引：1

作者：

Pavithra, R. C. ^{[1
]}

Nagaraja, H. G. ^{[1
]}

机构：

[1] Bangalore Univ, Dept Math, Bengaluru 560056, Karnataka, India

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2023年 / 20卷 / 10期

关键词：

*-Ricci soliton; *-eta-Ricci soliton; almost gradient *-eta-Ricci soliton; Jacobi-type vector field; REAL HYPERSURFACES; CONTACT;

D O I：

10.1142/S0219887823501736

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we characterize three-dimensional trans-Sasakian manifolds of type (alpha,beta) admitting *-eta-Ricci-solitons and gradient almost *-eta-Ricci-solitons. First, we prove that a trans-Sasakian three-manifold of type (alpha,beta) admitting a *-eta-Ricci soliton reduces to a beta-Kenmostu manifold, provided potential vector field V is Jacobi along a geodesic of xi. Next, we show that the trans-Sasakian metric as a gradient almost *-eta-Ricci soliton is either flat or *-eta-Einstein or a beta-Kenmotsu manifold.

引用

页数：12

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