Results 71 to 80 of about 5,716 (169)

Gradient pseudo‐Ricci solitons of real hypersurfaces

Mathematische Nachrichten, Volume 297, Issue 1, Page 63-82, January 2024.
Abstract Let M be a real hypersurface of a complex space form Mn(c)$M^n(c)$, c≠0$c\ne 0$. Suppose that the structure vector field ξ of M is an eigen vector field of the Ricci tensor S, Sξ=βξ$S\xi =\beta \xi$, β being a function. We study on M, a gradient pseudo‐Ricci soliton (M,g,f,λ,μ$M,g,f,\lambda ,\mu$) that is an extended concept of gradient Ricci ...
Mayuko Kon
wiley   +1 more source

Geometric Classifications of Perfect Fluid Space‐Time Admit Conformal Ricci‐Bourguignon Solitons

Journal of Mathematics, Volume 2024, Issue 1, 2024.
This paper is dedicated to the study of the geometric composition of a perfect fluid space‐time with a conformal Ricci‐Bourguignon soliton, which is the extended version of the soliton to the Ricci‐Bourguignon flow. Here, we have delineated the conditions for conformal Ricci‐Bourguignon soliton to be expanding, steady, or shrinking.
Noura Alhouiti, Soumendu Roy, Santu Dey, Fatemah Mofarreh, Akram Ali, Yanlin Li, Francisco J. Garcia-Pacheco   +6 more
wiley   +1 more source

The Z‐Tensor on Almost Co‐Kählerian Manifolds Admitting Riemann Soliton Structure

Advances in Mathematical Physics, Volume 2024, Issue 1, 2024.
A Riemann soliton (RS) is a natural generalization of a Ricci soliton structure on pseudo‐Riemannian manifolds. This work aims at investigating almost co‐Kählerian manifolds (ACKM) 2n+1 whose metrics are Riemann solitons utilizing the properties of the Z‐tensor.
Sunil Kumar Yadav, Sameh Shenawy, Nasser Bin Turki, Rajendra Prasad, Mohammad Mirzazadeh   +4 more
wiley   +1 more source

Expanding Kähler–Ricci solitons coming out of Kähler cones

Journal of differential geometry, 2020
We give necessary and sufficient conditions for a Kähler equivariant resolution of a Kähler cone, with the resolution satisfying one of a number of auxiliary conditions, to admit a unique asymptotically conical (AC) expanding gradient Kähler-Ricci ...
Ronan J. Conlon, Alix Deruelle
semanticscholar   +1 more source

On warped product gradient η-Ricci solitons [PDF]

, 2017
Adara M. Blaga
openalex   +3 more sources

$\eta$-Ricci solitons in $(\varepsilon)$-almost paracontact metric manifolds

, 2017
The object of this paper is to study $\eta$-Ricci solitons on $(\varepsilon)$-almost paracontact metric manifolds. We investigate $\eta$-Ricci solitons in the case when its potential vector field is exactly the characteristic vector field $\xi$ of the $(\
Acet, Bilal Eftal, Blaga, Adara Monica, Erdoğan, Feyza Esra, Perktaş, Selcen Yüksel   +3 more
core  

Generalized η-Ricci solitons on f-Kenmotsu 3-manifolds associated to the Schoutenvan Kampen connection [PDF]

AUT Journal of Mathematics and Computing
In this paper, we investigate f-Kenmotsu 3-dimensional manifolds admitting generalized η-Ricci solitons with respect to the Schouten-van Kampen connection.
Shahroud Azami
doaj   +1 more source

Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three

, 2014
The only known example of collapsed three-dimensional complete gradient steady Ricci solitons so far is the 3D cigar soliton $N^2\times \mathbb{R}$, the product of Hamilton's cigar soliton $N^2$ and the real line $\mathbb{R}$ with the product metric.
Cao, Huai-Dong, He, Chenxu
core  

Kenmotsu metric as conformal $η$-Ricci soliton [PDF]

, 2021
Dipen Ganguly
openalex   +1 more source

f– Kenmotsu Metric as Conformal Ricci Soliton

Annals of the West University of Timisoara: Mathematics and Computer Science, 2017
In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.
Nagaraja H. G., Venu K.
doaj   +1 more source