Results 1 to 10 of about 169,398 (139)
Frontiers in Physics, 2022 The goal of the present study is to study the ∗-η-Ricci soliton and gradient almost ∗-η-Ricci soliton within the framework of para-Kenmotsu manifolds as a characterization of Einstein metrics.
Santu Dey, Nasser Bin Turki
exaly +4 more sources
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
doaj +2 more sources
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.
doaj +2 more sources
A New Complete Two-Dimensional Shrinking Gradient Kähler-Ricci Soliton [PDF]
Geometric and Functional Analysis, 2022 We prove the existence of a unique complete shrinking gradient Kähler-Ricci soliton with bounded scalar curvature on the blowup of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
R. Bamler +3 more
semanticscholar +1 more source
The existence of the Kähler–Ricci soliton degeneration [PDF]
Forum of Mathematics, Pi, 2021 We prove an algebraic version of the Hamilton–Tian conjecture for all log Fano pairs. More precisely, we show that any log Fano pair admits a canonical two-step degeneration to a reduced uniformly Ding stable triple, which admits a Kähler–Ricci soliton ...
H. Blum +3 more
semanticscholar +1 more source
Conformal Submersions Whose Total Manifolds Admit a Ricci Soliton [PDF]
Mediterranean Journal of Mathematics, 2022 In this paper, we study conformal submersions from Ricci solitons to Riemannian manifolds with non-trivial examples. First, we study some properties of the O’Neill tensor A in the case of conformal submersion.
Kiran Meena, A. Yadav
semanticscholar +1 more source
Ricci Soliton of CR-Warped Product Manifolds and Their Classifications
Symmetry, 2023 In this article, we derived an equality for CR-warped product in a complex space form which forms the relationship between the gradient and Laplacian of the warping function and second fundamental form.
Yanlin Li +4 more
semanticscholar +1 more source
Hyperbolic Ricci soliton on warped product manifolds
Filomat, 2023 In this paper, we investigate hyperbolic Ricci soliton as the special solution of hyperbolic geometric flow on warped product manifolds. Then, especially, we study these manifolds admitting either a conformal vector field or a concurrent vector field.
S. Azami, Ghodratallah Fasihi-Ramandi
semanticscholar +1 more source
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
Riemannian maps whose base manifolds admit a Ricci soliton [PDF]
Publicationes mathematicae (Debrecen), 2021 In this paper, we study Riemannian maps whose base manifolds admit a Ricci soliton and give a non-trivial example of such Riemannian maps. First, we find Riemannian curvature tensor of base manifolds for Riemannian map $F$.
A. Yadav, Kiran Meena
semanticscholar +1 more source