Results 21 to 30 of about 5,716 (169)
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 +2 more
semanticscholar +1 more source
Conformal η-Ricci solitons within the framework of indefinite Kenmotsu manifolds
AIMS Mathematics, 2022 The present paper is to deliberate the class of ϵ-Kenmotsu manifolds which admits conformal η-Ricci soliton. Here, we study some special types of Ricci tensor in connection with the conformal η-Ricci soliton of ϵ-Kenmotsu manifolds.
Yanlin Li +3 more
doaj +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 +4 more
semanticscholar +1 more source
Gulf Journal of Mathematics, 2022 . In the present paper, we prove three fundamental results concerning almost ∗-Ricci soliton in the framework of para-Sasakian manifold. The paper is organised as follows:• If a para-Sasakian metric g represents an almost ∗-Ricci soliton with potential ...
S. Kundu, S. Halder, K. De
semanticscholar +1 more source
Geometry of conformal η-Ricci solitons and conformal η-Ricci almost solitons on paracontact geometry
Open Mathematics, 2022 We prove that if an η\eta -Einstein para-Kenmotsu manifold admits a conformal η\eta -Ricci soliton then it is Einstein. Next, we proved that a para-Kenmotsu metric as a conformal η\eta -Ricci soliton is Einstein if its potential vector field VV is ...
Li Yanlin +3 more
doaj +1 more source
Some special vector fields on a cosymplectic manifold admitting a Ricci soliton
Miskolc Mathematical Notes, 2021 . In this paper, we deal with the geometric properties of cosymplectic manifold. We give some classifications for a cosymplectic manifold endowed with some special vector fields, such as contact, concircular, recurrent, torse-forming and some ...
H. Yoldaş, Ş. Meriç, Erol Yaşar
semanticscholar +1 more source
Almost Pseudo Symmetric Kähler Manifolds Admitting Conformal Ricci-Yamabe Metric
International Journal of Analysis and Applications, 2023 The novelty of the paper is to investigate the nature of conformal Ricci-Yamabe soliton on almost pseudo symmetric, almost pseudo Bochner symmetric, almost pseudo Ricci symmetric and almost pseudo Bochner Ricci symmetric Kähler manifolds.
Sunil Kumar Yadav +2 more
doaj +1 more source
On finite time Type I singularities of the Kähler–Ricci flow on compact Kähler surfaces [PDF]
Journal of the European Mathematical Society (Print), 2022 We show that the underlying complex manifold of a complete non-compact two-\linebreak dimensional shrinking gradient K\"ahler-Ricci soliton $(M,\,g,\,X)$ with soliton metric $g$ with bounded scalar curvature $\operatorname{R}_{g}$ whose soliton vector ...
C. Cifarelli +2 more
semanticscholar +1 more source
η-Ricci soliton on η-Einstein-like LP-Sasakian manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2022 The object of the present article is to study the notion of η-Einstein-like LP-Sasakian manifolds admitting η-Ricci soliton. Furthermore, we study the η-Ricci soliton on LP-Sasakian manifolds when the potential vector field V is point-wise collinear.
Das Susanta +2 more
doaj +1 more source
Structure at infinity of expanding gradient Ricci soliton [PDF]
, 2011 We study the geometry at infinity of expanding gradient Ricci solitons of dimension greater than two with finite asymptotic curvature ratio without curvature sign assumptions. We mainly prove that they have a cone structure at infinity.
Chih-Wei Chen, Alix Deruelle
semanticscholar +1 more source