Almost Kenmotsu Metrics with Quasi Yamabe Soliton

被引：0

作者：

Majhi, Pradip ^{[1
]}

Dey, Dibakar ^{[1
]}

机构：

[1] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, West Bengal, India

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2023年 / 63卷 / 01期

关键词：

Almost Kenmotsu manifolds; Yamabe soliton; Quasi Yamabe; MANIFOLDS;

D O I：

10.5666/KMJ.2022.63.1.97

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

. In the present paper, we characterize, for a class of almost Kenmotsu manifolds, those that admit quasi Yamabe solitons. We show that if a (k, mu)'-almost Kenmotsu manifold admits a quasi Yamabe soliton (g, V, lambda, alpha) where V is pointwise collinear with xi, then (1) V is a constant multiple of xi, (2) V is a strict infinitesimal contact transformation, and (3) (V pound h ')X = 0 holds for any vector field X. We present an illustrative example to support the result.

引用

页码：97 / 104

页数：8

共 50 条

[1] YAMABE SOLITON AND QUASI YAMABE SOLITON ON KENMOTSU MANIFOLD
Ghosh, Amalendu
[J]. MATHEMATICA SLOVACA, 2020, 70 (01) : 151 - 160
[2] Ricci almost soliton and almost Yamabe soliton on Kenmotsu manifold
Ghosh, Amalendu
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (08)
[3] Characterization of Almost η-Ricci–Yamabe Soliton and Gradient Almost η-Ricci–Yamabe Soliton on Almost Kenmotsu Manifolds
Somnath Mondal
Santu Dey
Arindam Bhattacharyya
[J]. Acta Mathematica Sinica, English Series, 2023, 39 : 728 - 748
[4] Characterization of Almost η-Ricci–Yamabe Soliton and Gradient Almost η-Ricci–Yamabe Soliton on Almost Kenmotsu Manifolds
Somnath MONDAL
Santu DEY
Arindam BHATTACHARYYA
[J]. Acta Mathematica Sinica,English Series, 2023, (04) : 728 - 748
[5] Characterization of Almost η-Ricci-Yamabe Soliton and Gradient Almost η-Ricci-Yamabe Soliton on Almost Kenmotsu Manifolds
Mondal, Somnath
Dey, Santu
Bhattacharyya, Arindam
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2023, 39 (04) : 728 - 748
[6] Almost quasi-Yamabe solitons and gradient almost quasi-Yamabe solitons in f-kenmotsu manifolds
Ghosh, Sujit
De, Uday Chand
[J]. INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2021, 18 (11)
[7] Almost Kenmotsu (k, μ)′-manifolds with Yamabe solitons
Wang, Yaning
[J]. REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2020, 115 (01)
[8] Almost Ricci-Yamabe solitons on Almost Kenmotsu manifolds
Khatri, Mohan
Singh, Jay Prakash
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2023, 16 (08)
[9] A note on almost quasi Yamabe solitons and gradient almost quasi Yamabe solitons
Ghosh, Sujit
De, Uday Chand
Yildiz, Ahmet
[J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 50 (03): : 770 - 777
[10] k-ALMOST YAMABE SOLITONS ON KENMOTSU MANIFOLDS
De, Krishnendu
De, Uday Chand
[J]. HONAM MATHEMATICAL JOURNAL, 2021, 43 (01): : 115 - 122

← 1 2 3 4 5 →