Results 31 to 40 of about 157 (140)
Ricci almost solitons and gradient Ricci almost solitons in $(k,\mu)$-paracontact geometry
Boletim da Sociedade Paranaense de Matemática, 2017 The purpose of this paper is to study Ricci almost soliton and gradient Ricci almost soliton in $(k,\mu)$-paracontact metric manifolds. We prove the non-existence of Ricci almost soliton in a $(k,\mu)$-paracontact metric manifold $M$ with $k<-1$ or $k>-1$ and whose potential vector field is the Reeb vector field $\xi$.
Uday Chand De, Krishanu Mandal
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Homogeneous Ricci almost solitons [PDF]
Israel Journal of Mathematics, 2017 It is shown that a locally homogeneous proper Ricci almost soliton is either of constant sectional curvature or a product $\mathbb{R}\times N(c)$, where $N(c)$ is a space of constant curvature.
Calviño-Louzao, Esteban +3 more
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A Gradient Bound for the Allen-Cahn Equation Under Almost Ricci Solitons [PDF]
Sahand Communications in Mathematical AnalysisIn this paper, we consider positive solutions for the Allen-Cahn equation\begin{equation*}\Delta u+\left(1-u^{2}\right)u=0,\end{equation*}on an almost Ricci soliton without a boundary. Firstly, using volume comparison Theorem and Sobolev inequality, we
Sakineh Hajiaghasi, Shahroud Azami
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On Submanifolds of Riemannian Manifolds Admitting a Ricci Soliton [PDF]
Memoirs of the Scientific Sections of the Romanian Academy, 2019 The aim of this paper is to study the conditions under which a submanifold of a Ricci soliton is also a Ricci soliton or an almost Ricci soliton. We give here a classification for Ricci solitons and their submanifolds according to their expanding ...
Semsi Eken Meric, Erol Kilic
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Certain results on Kenmotsu manifolds
Cumhuriyet Science Journal, 2020 In this paper, we focus on Kenmotsu manifolds. Firstly, we investigate almost quasi Ricci symmetric Kenmotsu manifolds. Then, we study Kenmotsu manifold admitting a Yamabe soliton. We find that if the soliton field of the Yamabe soliton is orthogonal to
Halil İbrahim Yoldaş
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Characteristics of Sasakian Manifolds Admitting Almost ∗-Ricci Solitons
Fractal and Fractional, 2023 This article presents some results of a geometric classification of Sasakian manifolds (SM) that admit an almost ∗-Ricci soliton (RS) structure (g,ω,X). First, we show that a complete SM equipped with an almost ∗-RS with ω≠ const is a unit sphere.
Vladimir Rovenski, Dhriti Sundar Patra
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Generalized Sasakian Space-Forms with Beta-Kenmotsu Structure and Ricci Solitons [PDF]
International Journal of Mathematical, Engineering and Management SciencesWe explore the properties of almost Ricci solitons and the gradient Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure. We consider almost Ricci solitons on generalized Sasakian-space-forms with beta-Kenmotsu structure when ...
Sudhakar Kumar Chaubey +3 more
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Gradient almost Ricci solitons on multiply warped product manifolds
Karpatsʹkì Matematičnì Publìkacìï, 2021 In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton.
S. Günsen, L. Onat
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On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
Journal of Inequalities and Applications, 2020 This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa +2 more
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Gradient estimate of a Poisson equation under the almost Ricci solitons
Boundary Value Problems, 2022 In this paper, we consider an n-dimensional manifold M n $M^{n}$ endowed with an almost Bakry–Émery Ricci curvature and study a special case of gradient estimate for the positive solutions of Δ u − X . u = f $\Delta u-X.u=f$ , for a smooth function f and
Sakineh Hajiaghasi, Shahroud Azami
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