Results 91 to 100 of about 1,131 (182)
$$\eta$$-$$*$$-Ricci solitons and paracontact geometry
, 2023 In this paper, we classify ?-*-Ricci solitons in paracontact geometry. In particular, we characterize (2n + 1)-dimensional para-Kenmotsu manifolds having an ?-*-Ricci soliton and 3-dimensional para-Kenmotsu manifolds admitting a gradient ?-*-Ricci ...
Uday Chand De +5 more
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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
doaj
A family of steady Ricci solitons and Ricci-flat metrics
, 2015 We produce new non-Kähler complete steady gradient Ricci solitons whose asymptotics combine those of the Bryant solitons and the Hamilton cigar. The underlying manifolds are of the form ℝ2 × M2 × ⋯ × Mr where Mi are arbitrary Einstein manifolds with ...
Buzano, M +3 more
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Uniqueness of Kähler-Ricci solitons
Acta Mathematica, 2000 Let \(X\) be a holomorphic vector field on a compact Kähler manifold \((M,\omega)\). Then \(\omega\) is a Kähler-Ricci soliton with respect to \(X\) if \(\text{Ric} (\omega)-\omega=L_X\omega\) where \(\text{Ric} (\omega)\) is the Ricci form and \(L_X\) is the Lie derivative with respect to \(X\).
Tian, Gang, Zhu, Xiaohua
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ON LOCALLY CONFORMALLY FLAT GRADIENT SHRINKING RICCI SOLITONS
, 2011 In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature.
ZHOU ZHANG, BIAO WANG, XIAODONG CAO
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Homogeneous Ricci solitons are algebraic [PDF]
Geometry & Topology, 2014 7 pages.
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Eta-Ricci Solitons and Gradient Ricci Solitons On Nearly Kenmotsu Manifolds. [PDF]
, 2018 In this paper, we study Ricci solitons and gradient Ricci solitons on nearly Kenmotsu manifolds. After giving some basic definitions, we prove that in a nearly Kenmotsu manifold, if the metric g admits a Ricci soliton (g,v, ?) and V is pointwise ...
Aktan, N. +2 more
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Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons
MathematicsIn this paper, we examine Ricci–Bourguignon solitons on locally decomposable golden Riemannian manifolds of constant golden sectional curvature. First, we establish an explicit expression for the soliton constant in terms of the golden structure and the ...
Bang-Yen Chen +3 more
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f– Kenmotsu Metric as Conformal Ricci Soliton
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper, we study conformal Ricci solitons in f- Kenmotsu manifolds. We derive conditions for f-Kenmotsu metric to be a conformal Ricci soliton.
Nagaraja H. G., Venu K.
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Rigidity of Gradient Ricci Solitons
, 2007 We define a gradient Ricci soliton to be rigid if it is a flat bundle N*GammaRk where N is Einstein. It is known that not all gradient solitons are rigid. Here we offer several natural conditions on the curvature that characterize rigid gradient solitons.
Wylie, William, Petersen, Peter
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