Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds
Universe, 2023 This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold.
Sameh Shenawy +3 more
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On the Yau‐Tian‐Donaldson Conjecture for Generalized Kähler‐Ricci Soliton Equations [PDF]
Communications on Pure and Applied Mathematics, 2020 Let (X,D) be a polarized log variety with an effective holomorphic torus action, and Θ be a closed positive torus invariant (1,1) ‐current. For any smooth positive function g defined on the moment polytope of the torus action, we study the Monge‐Ampère ...
Jiyuan Han, Chi Li
semanticscholar +1 more source
Existence of Finite Global Norm of Potential Vector Field in a Ricci Soliton [PDF]
Proceedings of the National Academy of Sciences India Section A Physical Sciences, 2021 In this paper, we present global norm of potential vector field in Ricci soliton. In particular, we deduce certain conditions so that the potential vector field has finite global norm in expanding Ricci soliton. In addition, we show that if the potential
A. Shaikh, P. Mandal, C. Mondal
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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
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Generalized Ricci Solitons [PDF]
The Journal of Geometric Analysis, 2015 56 ...
Matthew Randall, Pawel Nurowski
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Expanding Ricci solitons with pinched Ricci curvature
Kodai Mathematical Journal, 2010 In this paper, we prove that expanding gradient Ricci solitons with (positively) pinched Ricci curvature are trivial ones. Namely, they are either compact or flat.
Li Ma
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Ricci Soliton and Certain Related Metrics on a Three-Dimensional Trans-Sasakian Manifold
Universe, 2022 In this article, a Ricci soliton and *-conformal Ricci soliton are examined in the framework of trans-Sasakian three-manifold. In the beginning of the paper, it is shown that a three-dimensional trans-Sasakian manifold of type (α,β) admits a Ricci ...
Zhizhi Chen +4 more
semanticscholar +1 more source
∗-Ricci solitons and gradient almost ∗-Ricci solitons on Kenmotsu manifolds [PDF]
Mathematica Slovaca, 2019 Abstract In this paper, we consider *-Ricci soliton in the frame-work of Kenmotsu manifolds. First, we prove that if (M, g) is a Kenmotsu manifold and g is a *-Ricci soliton, then soliton constant λ is zero. For 3-dimensional case, if M admits a *-Ricci soliton, then we show that M is of constant sectional curvature –1. Next, we show that if M admits a
Devaraja Mallesha Naik +2 more
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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
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RICCI SOLITONS AND GRADIENT RICCI SOLITONS ON NEARLY KENMOTSU MANIFOLDS [PDF]
Facta Universitatis, Series: Mathematics and Informatics, 2019 In this paper, we study nearly Kenmotsu manifolds with Ricci soliton and we obtain certain conditions about curvature tensors.
Ayar, Gülhan, Yıldırım, Mustafa
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