Results 31 to 40 of about 2,218 (208)
Special Kähler–Ricci potentials and Ricci solitons [PDF]
Annals of Global Analysis and Geometry, 2008 On a manifold of dimension at least six, let $(g, )$ be a pair consisting of a K hler metric g which is locally K hler irreducible, and a nonconstant smooth function $ $. Off the zero set of $ $, if the metric $\hat{g}=g/ ^2$ is a gradient Ricci soliton which has soliton function $1/ $, we show that $\hat{g}$ is K hler with respect to another ...
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Steady Ricci solitons with horizontally ϵ-pinched Ricci curvature
Science China Mathematics, 2020 Corollary 3.11 is ...
Deng, Yuxing, Zhu, Xiaohua
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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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Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold
Karpatsʹkì Matematičnì Publìkacìï, 2019 First, we prove that if the Reeb vector field $\xi$ of a Kenmotsu manifold $M$ leaves the Ricci operator $Q$ invariant, then $M$ is Einstein. Next, we study Kenmotsu manifold whose metric represents a Ricci soliton and prove that it is expanding ...
A. Ghosh
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n-Ricci-Bourguignon solitons with a semi-symmetric metric and semi-symmetric non-metric connection
AIMS Mathematics, 2023 We consider a generalization of a Ricci soliton as $ \eta $-Ricci-Bourguignon solitons on a Riemannian manifold endowed with a semi-symmetric metric and semi-symmetric non-metric connection.
Yusuf Dogru
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Sufficient conditions for triviality of Ricci solitons
AIMS MathematicsWe found conditions on an $ n $-dimensional Ricci soliton $ \left(M, g, \mathbf{u}, \lambda \right) $ to be trivial. First, we showed that under an appropriate upper bound on the squared length of the covariant derivative of the potential field $ \mathbf{
Nasser Bin Turki, Sharief Deshmukh
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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
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Ricci soliton and η-Ricci soliton on Generalized Sasakian space form
Filomat, 2017 Summary: The aim of the present paper is to study Ricci soliton, \(\eta\)-Ricci soliton and various types of curvature tensors on Generalized Sasakian space form. We have also studied conformal Killing vector field, torse forming vector field on Generalized Sasakian space form.
Pahan, Sampa +2 more
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On Ricci solitons in LP-Sasakian manifolds
Bibechana, 2020 In this paper we study Ricci solitons in Lorentzian para-Sasakian manifolds. It is proved that the Ricci soliton in a (2n+1)-dimensinal LP-Sasakian manifold is shrinking.
Riddhi Jung Shah
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ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2012 We introduce a natural extension of the concept of gradient Ricci soliton: the Ricci almost soliton. We provide existence and rigidity results, we deduce a-priori curvature estimates and isolation phenomena, and we investigate some topological properties. A number of differential identities involving the relevant geometric quantities are derived.
Pigola, S +3 more
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