Results 11 to 20 of about 28,239 (177)

Some results of η-Ricci solitons on (LCS)n-manifolds [PDF]

Surveys in Mathematics and its Applications, 2018
In this paper, we consider an η -Ricci soliton on the (LCS)n-manifolds (M, φ , ξ , η , g) satisfying certain curvature conditions likes: R(ξ , X) · S= 0 and W 2(ξ, X) · S=0.
S. K. Yadav, S. K. Chaubey, D. L. Suthar
doaj   +2 more sources

Introduction to gradient h-almost η-Ricci soliton warped product

Boletim da Sociedade Paranaense de Matemática
In this paper, we introduce the new concept of gradient h-almost η-Ricci soliton. We discuss here a steady or  expanding gradient h-almost η-Ricci soliton warped product Bn ×f Fm, m > 1. We show that the warping function f of this warped product attains
Nandan Bhunia, Sampa Pahan, Arindam Bhattacharyya, Sanjib Kimar Datta   +3 more
doaj   +2 more sources

A Conformal η-Ricci Soliton on a Four-Dimensional Lorentzian Para-Sasakian Manifold

Axioms
This paper focuses on some geometrical and physical properties of a conformal η-Ricci soliton (Cη-RS) on a four-dimension Lorentzian Para-Sasakian (LP-S) manifold.
Yanlin Li, Arup Kumar Mallick, Arindam Bhattacharyya, Mića S. Stanković   +3 more
doaj   +2 more sources

On h-almost conformal η-Ricci-Bourguignon soliton in a perfect fluid spacetime [PDF]

The primary object of the paper is to study h-almost conformal η-Ricci-Bourguignon soliton in an almost pseudo-symmetric Lorentzian Kähler spacetime manifold when some different curvature tensors vanish identically.
Pahan, Sampa
core   +3 more sources

Curvature properties of \(\alpha\)-cosymplectic manifolds with \(\ast\)-\(\eta\)-Ricci-Yamabe solitons

Cubo
In this research article, we study \(\ast\)-\(\eta\)-Ricci-Yamabe solitons on an \(\alpha\)-cosymplectic manifold by giving an example in the support and also prove that it is an \(\eta\)-Einstein manifold.
Vandana, Rajeev Budhiraja, Aliya Naaz Siddiqui Diop   +2 more
doaj   +3 more sources

On almost η-Ricci-Bourguignon solitons [PDF]

Miskolc Mathematical Notes
We investigate a Riemannian manifold with almost η-Ricci-Bourguignon soliton structure. We use the Hodge-de Rham decomposition theorem to make a link with the associated vector field of an almost η-Ricci-Bourguignon soliton.
Moctar Traore, Hakan Mete Taştan, Sibel Gerdan Aydın   +2 more
openalex   +2 more sources

Geometry of Ricci and ( η , ω ) -Ricci solitons on the Sasaki–Kenmotsu manifold

Ukrains'kyi Matematychnyi Zhurnal
UDC 514.7 We characterize the Sasaki–Kenmotsu manifold by using different kinds of solitons. Thus, we introduce a new type of solitons on the Sasaki–Kenmotsu manifold using a bicontact structure.  First, we observe the properties of the Ricci soliton on
M. Sangeetha, H. G. Nagaraja
openalex   +2 more sources

Riemannian maps whose base manifolds admit a Ricci soliton [PDF]

Publicationes mathematicae (Debrecen), 2021
In this paper, we study Riemannian maps whose base manifolds admit a Ricci soliton and give a non-trivial example of such Riemannian maps. First, we find Riemannian curvature tensor of base manifolds for Riemannian map $F$.
A. Yadav, Kiran Meena
semanticscholar   +1 more source

A note on gradient Ricci soliton warped metrics [PDF]

Mathematische Nachrichten, 2021
In this note, we prove triviality and nonexistence results for gradient Ricci soliton warped metrics. The proofs stem from the construction of gradient Ricci solitons that are realized as warped products, from which we know that the base spaces of these ...
J. Gomes, M. Marrocos, Adrian V. C. Ribeiro   +2 more
semanticscholar   +1 more source

Ricci Soliton of CR-Warped Product Manifolds and Their Classifications

Symmetry, 2023
In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form.
Yanlin Li, S. Srivastava, F. Mofarreh, Anuj Kumar, Akram Ali   +4 more
semanticscholar   +1 more source