Results 11 to 20 of about 91 (89)

Ricci almost solitons on semi‐Riemannian warped products [PDF]

Mathematische Nachrichten, 2022
AbstractIt is shown that a gradient Ricci almost soliton on a warped product, whose potential function f depends on the fiber, is either a Ricci soliton or λ is not constant and the warped product, the base and the fiber are Einstein manifolds, which admit conformal vector fields.
Valter Borges, Keti Tenenblat
openaire   +2 more sources

Ricci almost solitons

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, Rigoli M, RIMOLDI, MICHELE, Setti AG   +3 more
openaire   +5 more sources

Gaussian upper bounds for the heat kernel on evolving manifolds

Journal of the London Mathematical Society, Volume 108, Issue 5, Page 1747-1768, November 2023., 2023
Abstract In this article, we prove a general and rather flexible upper bound for the heat kernel of a weighted heat operator on a closed manifold evolving by an intrinsic geometric flow. The proof is based on logarithmic Sobolev inequalities and ultracontractivity estimates for the weighted operator along the flow, a method that was previously used by ...
Reto Buzano, Louis Yudowitz
wiley   +1 more source

Ricci almost solitons and gradient Ricci almost solitons in $(k,\mu)$-paracontact geometry

Boletim da Sociedade Paranaense de Matemática, 2017
The purpose of this paper is to study Ricci almost soliton and gradient Ricci almost soliton in $(k,\mu)$-paracontact metric manifolds. We prove the non-existence of Ricci almost soliton in a $(k,\mu)$-paracontact metric manifold $M$ with $k<-1$ or $k>-1$ and whose potential vector field is the Reeb vector field $\xi$.
Uday Chand De, Krishanu Mandal
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Bach-flat h-almost gradient Ricci solitons [PDF]

Pacific Journal of Mathematics, 2017
12 ...
Yun, Gabjin, Co, Jinseok, Hwang, Seungsu
openaire   +3 more sources

Some Results on Ricci Almost Solitons [PDF]

Symmetry, 2021
We find three necessary and sufficient conditions for an n-dimensional compact Ricci almost soliton (M,g,w,σ) to be a trivial Ricci soliton under the assumption that the soliton vector field w is a geodesic vector field (a vector field with integral curves geodesics).
Sharief Deshmukh, Hana Alsodais, Nasser Bin Turki   +2 more
openaire   +1 more source

Some results on almost η-Ricci-Bourguignon solitons

Journal of Geometry and Physics, 2021
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Adara M. Blaga, Hakan M. Taştan
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Generalized Almost-Ka¨Hler–Ricci Solitons

Differential Geometry and its Applications
We generalize K\"ahler-Ricci solitons to the almost-K\"ahler setting as the zeros of Inoue's moment map \cite{MR4017922}, and show that their existence is an obstruction to the existence of first-Chern-Einstein almost-K\"ahler metrics on compact symplectic Fano manifolds.
Michael Albanese, Giuseppe Barbaro, Mehdi Lejmi   +2 more
openaire   +4 more sources

Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons

Communications on Pure and Applied Mathematics, Volume 79, Issue 5, Page 1151-1298, May 2026.
Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
wiley   +1 more source

$\alpha$-Almost Ricci solitons on $(k,\mu)'$-almost Kenmotsu manifolds

Novi Sad Journal of Mathematics, 2021
Summary: We consider \(\alpha\)-almost Ricci solitons on \((k,\mu)'\)-almost Kenmotsu manifolds with an \(\eta\)-parallel Ricci tensor. Then we study \(\alpha\)-almost Ricci solitons on \((k,\mu)'\)-almost Kenmotsu manifolds satisfying the curvature conditions \(P.\phi = 0\), \(Q.P = 0\) and \(Q.R = 0\) respectively. Finally, we construct an example of
Sardar, Arpan, Sarkar, Avijit
openaire   +2 more sources