Results 21 to 30 of about 10,189 (207)
∗-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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Non-Kähler Expanding Ricci Solitons [PDF]
International Mathematics Research Notices, 2009 18 pages, minor changes, final ...
Dancer, A, Wang, M
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On harmonic and biharmonic maps from gradient Ricci solitons
Mathematische Nachrichten, Volume 296, Issue 11, Page 5109-5122, November 2023., 2023 Abstract We study harmonic and biharmonic maps from gradient Ricci solitons. We derive a number of analytic and geometric conditions under which harmonic maps are constant and which force biharmonic maps to be harmonic. In particular, we show that biharmonic maps of finite energy from the two‐dimensional cigar soliton must be harmonic.
Volker Branding
wiley +1 more source
, 2017 English translation of "Solitony Ricciego" (Wiadomo ci Matematyczne 48, 2012, no. 1, pp. 1-32). Despite the general-sounding title, the text covers just a few narrow topics: Perelman's proof of the fact that compact Ricci solitons are of the gradient type, and a detailed unified description of Page's and Berard Bergery's Einstein manifolds on the one ...
Esteban Calviño-Louzao +4 more
openaire +3 more sources
Sasakian Manifolds Admitting ∗-η-Ricci-Yamabe Solitons
Advances in Mathematical Physics, 2022 In this note, we characterize Sasakian manifolds endowed with ∗-η-Ricci-Yamabe solitons. Also, the existence of ∗-η-Ricci-Yamabe solitons in a 5-dimensional Sasakian manifold has been proved through a concrete example.
Abdul Haseeb +2 more
doaj +1 more source
h-Almost Ricci solitons with concurrent potential fields
AIMS Mathematics, 2020 In this paper, we will focus our attention on the structure of h-almost Ricci solitons. A complete classification of h-almost Ricci solitons with concurrent potential vector fields is given.
Hamed Faraji +2 more
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Journal of Geometric Analysis, 2011 to appear in J.
Munteanu, Ovidiu, Sesum, Natasa
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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
doaj +1 more source
Evolution of the Weyl Tensor under the Ricci Flow [PDF]
, 2011 We compute the evolution equation of the Weyl tensor under the Ricci flow of a Riemannian manifold and we discuss some consequences for the classification of locally conformally flat Ricci ...
Catino, Giovanni, Mantegazza, Carlo
core +3 more sources
η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
doaj +1 more source