Results 21 to 30 of about 174,038 (179)
Volume Growth Estimates of Gradient Ricci Solitons [PDF]
Journal of Geometric Analysis, 2022 In this paper, we survey the volume growth estimates for shrinking, steady, and expanding gradient Ricci solitons. Together with the known results, we also prove some new volume growth estimates for expanding gradient Ricci solitons.
Pak-Yeung Chan, Zilu Ma, Yongjia Zhang
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∗-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
Venkatesh, Venkatesha +2 more
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Certain Curvature Conditions on Kenmotsu Manifolds and ★-η;-Ricci Solitons
Axioms, 2023 The present paper deals with the investigations of a Kenmotsu manifold satisfying certain curvature conditions endowed with 🟉-η-Ricci solitons. First we find some necessary conditions for such a manifold to be φ-Einstein. Then, we study the notion of 🟉-η-
H. Yoldaş, A. Haseeb, F. Mofarreh
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On Curvature Estimates for four-dimensional gradient Ricci solitons [PDF]
Matemática ContemporâneaIn this survey paper, we analyse and compare the recent curvature estimates for three types of $4$-dimensional gradient Ricci solitons, especially between Ricci shrinkers [58] and expanders [17].
H. Cao
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Three Dimensional Homogeneous Hyperbolic Ricci Solitons
Journal of Nonlinear Mathematical Physics, 2022 In this paper, we consider the self-similar solutions to the hyperbolic geometric flow, called hyperbolic Ricci solitons. Also, we investigate hyperbolic Ricci solitons on three-dimensional homogeneous manifolds with Riemannian and Lorentzian metrics and
H. Faraji +2 more
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Karpatsʹkì Matematičnì Publìkacìï, 2023 The goal of this paper is to find some important Einstein manifolds using conformal Ricci solitons and conformal Ricci almost solitons. We prove that a Kenmotsu metric as a conformal Ricci soliton is Einstein if it is an $\eta$-Einstein or the potential ...
S. Dey
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Notes on Ricci solitons in $f$-cosymplectic manifolds [PDF]
, 2017 The purpose of this article is to study an $f$-cosymplectic manifold $M$ admitting Ricci solitons. Here we consider mainly two classes of Ricci solitons on $f$-cosymplectic manifolds. One is the class of contact Ricci solitons.
Chen, Xiaomin
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Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature [PDF]
Mathematische Zeitschrift, 2022 In this paper, we investigate the geometry of 4-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature (half PIC) or half nonnegative isotropic curvature.
H. Cao, Junming Xie
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Ricci solitons and curvature inheritance on robinson-trautman spacetimes [PDF]
International Journal of Geometric Methods in Modern Physics (IJGMMP), 2022 The purpose of the article is to investigate the existence of Ricci solitons and the nature of curvature inheritance as well as collineations on the Robinson-Trautman (briefly, RT) spacetime.
A. Shaikh, B. Datta
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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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