*-Ricci Soliton within the frame-work of Sasakian and (κ, μ)-contact manifold

被引：54

作者：

Ghosh, Amalendu ^{[1
]}

Patra, Dhriti Sundar ^{[2
,3
]}

机构：

[1] Chandernagore Coll, Dept Math, Hooghly 712136, WB, India

[2] Jadavpur Univ, Dept Math, Kolkata 700032, India

[3] Birla Inst Technol Mesra, Dept Math, Ranchi 835215, Bihar, India

来源：

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2018年 / 15卷 / 07期

关键词：

*-Ricci Soliton; almost gradient *-Ricci soliton; Sasakian manifold; eta-Einstein manifold; (kappa; mu)-contact manifold; CONTACT METRIC MANIFOLDS; GEOMETRY; TENSOR;

D O I：

10.1142/S0219887818501207

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We prove that if a Sasakian metric is a *-Ricci Soliton, then it is either positive Sasakian, or null-Sasakian. Next, we prove that if a complete Sasakian metric is an almost gradient *-Ricci Soliton, then it is positive-Sasakian and isometric to a unit sphere S2n+1. Finally, we classify nontrivial *-Ricci Solitons on non-Sasakian (kappa, mu)-contact manifolds.

引用

页数：21

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