Results 31 to 40 of about 274 (160)

Almost Ricci–Yamabe soliton on contact metric manifolds [PDF]

Arab Journal of Mathematical Sciences
Purpose – This paper aims to study almost Ricci–Yamabe soliton in the context of certain contact metric manifolds. Design/methodology/approach – The paper is designed as follows: In Section 3, a complete contact metric manifold with the Reeb vector field
Mohan Khatri, Jay Prakash Singh
doaj   +1 more source

Ricci Solitons in β-Kenmotsu Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
The object of the present paper is to study Ricci soliton in β-Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a β-Kenmotsu manifold is a constant multiple of the metric tensor.
Kumar Rajesh
doaj   +1 more source

η-Ricci Solitons on Kenmotsu 3-Manifolds

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
In the present paper we study η-Ricci solitons on Kenmotsu 3-manifolds. Moreover, we consider η-Ricci solitons on Kenmotsu 3-manifolds with Codazzi type of Ricci tensor and cyclic parallel Ricci tensor.
De Krishnendu, De Uday Chand
doaj   +1 more source

Soliton on Sasakian manifold endowed with quarter-symmetric non-metric connection on the tangent bundle [PDF]

Arab Journal of Mathematical Sciences
PurposeThe purpose of this paper is to study the properties of the solitons on Sasakian manifold on the tangent bundle with respect to quarter symmetric non metric connection.Design/methodology/approachWe used the vertical and complete lifts, Ricci ...
Lalnunenga Colney, Rajesh Kumar
doaj   +1 more source

Almost Ricci soliton in $Q^{m^{\ast}}$ [PDF]

AUT Journal of Mathematics and Computing
In this paper, we will focus our attention on the structure of $h$-almost Ricci solitons on complex hyperbolic quadric. We will prove non-existence a contact real hypersurface in the complex hyperbolic quadric $Q^{m^*}, m\geq 3$, admitting the gradient ...
Hamed Faraji, Shahroud Azami
doaj   +1 more source

Ricci soliton and η-Ricci soliton on Generalized Sasakian space form

Filomat, 2017
Summary: The aim of the present paper is to study Ricci soliton, \(\eta\)-Ricci soliton and various types of curvature tensors on Generalized Sasakian space form. We have also studied conformal Killing vector field, torse forming vector field on Generalized Sasakian space form.
Pahan, Sampa, Dutta, Tamalika, Bhattacharyya, Arindam   +2 more
openaire   +3 more sources

Ricci almost solitons

ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012
We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties. A number of differential identities involving the relevant geometric quantities are derived.
Pigola, S, Rigoli M, RIMOLDI, MICHELE, Setti AG   +3 more
openaire   +5 more sources

Rigidity of gradient Ricci solitons [PDF]

Pacific Journal of Mathematics, 2009
We define a gradient Ricci soliton to be rigid if it is a flat bundle $% N\times_ \mathbb{R}^{k}$ where $N$ is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons. Other related results on rigidity of Ricci solitons are also explained in the
Petersen, Peter, Wylie, William
openaire   +2 more sources

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

Toral symmetries of collapsed ancient solutions to the homogeneous Ricci flow

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Collapsed ancient solutions to the homogeneous Ricci flow on compact manifolds occur only on the total space of principal torus bundles. Under an algebraic assumption that guarantees flowing through diagonal metrics and a tameness assumption on the collapsing directions, we prove that such solutions have additional symmetries, that is, they ...
Anusha M. Krishnan, Francesco Pediconi, Sammy Sbiti   +2 more
wiley   +1 more source