Three dimensional homogeneous hyperbolic Yamabe solitons

被引：0

作者：

Sarkar, Avijit ^{[1
]}

Sarkar, Babita ^{[1
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, West Bengal, India

来源：

FILOMAT | 2025年 / 39卷 / 08期

关键词：

Hyperbolic yamabe soliton; Riemannian metric; Lorentzian metric; RICCI SOLITONS; FLOW; METRICS;

D O I：

10.2298/FIL2508639S

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The present article deals with homogeneous hyperbolic Yamabe solitons of dimension three. We delve into unimodular as well as non-unimodular hyperbolic Yamabe solitons on Lorentzian manifolds. Hyperbolic Yamabe solitons on special three dimensional Lie groups have also been considered.

引用

页码：2639 / 2653

页数：15

共 28 条

[1]

Azami S., 2017, Electron. J. Differ. Equn., V165, P1

[2] Hyperbolic Ricci soliton on warped product manifolds [J].

Azami, Shahroud ;

Fasihi-Ramandi, Ghodratallah .

FILOMAT, 2023, 37 (20) :6843-6853

[3]

Blaga A. M., 2024, Period. Math. Hungar.

[4] On trivial gradient hyperbolic Ricci and gradient hyperbolic Yamabe solitons [J].

Blaga, Adara M. .

JOURNAL OF GEOMETRY, 2024, 115 (02)

[5] 2-Killing vector fields on multiply warped product manifolds [J].

Blaga, Adara M. ;

Ozgur, Cihan .

CHAOS SOLITONS & FRACTALS, 2024, 180

[6] Killing and 2-Killing Vector Fields on Doubly Warped Products [J].

Blaga, Adara M. ;

Ozgur, Cihan .

MATHEMATICS, 2023, 11 (24)

[7]

Blaga AM, 2025, Arxiv, DOI [arXiv:2310.15814, arXiv:2310.15814, 10.48550/arXiv.2310.15814, DOI 10.48550/ARXIV.2310.15814]

[8] Einstein-like metrics on three-dimensional homogeneous Lorentzian manifolds [J].

Calvaruso, G. .

GEOMETRIAE DEDICATA, 2007, 127 (01) :99-119

[9] THE YAMABE FLOW ON LOCALLY CONFORMALLY FLAT MANIFOLDS WITH POSITIVE RICCI CURVATURE [J].

CHOW, B .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (08) :1003-1014

[10]

Cordero L. A., 1997, Rend. Mat. Appl., V17, P129

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