Results 31 to 40 of about 5,716 (169)
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
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
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Imperfect Fluid Generalized Robertson Walker Spacetime Admitting Ricci-Yamabe Metric
Advances in Mathematical Physics, 2021 In the present paper, we investigate the nature of Ricci-Yamabe soliton on an imperfect fluid generalized Robertson-Walker spacetime with a torse-forming vector field ξ.
Ali H. Alkhaldi +3 more
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Some rigidity results for the Hawking mass and a lower bound for the Bartnik capacity
Journal of the London Mathematical Society, Volume 106, Issue 3, Page 1844-1896, October 2022., 2022 Abstract We prove rigidity results involving the Hawking mass for surfaces immersed in a 3‐dimensional, complete Riemannian manifold (M,g)$(M,g)$ with non‐negative scalar curvature (respectively, with scalar curvature bounded below by −6$-6$). Roughly, the main result states that if an open subset Ω⊂M$\Omega \subset M$ satisfies that every point has a ...
Andrea Mondino, Aidan Templeton‐Browne
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ρ‐Einstein Solitons on Warped Product Manifolds and Applications
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The purpose of this research is to investigate how a ρ‐Einstein soliton structure on a warped product manifold affects its base and fiber factor manifolds. Firstly, the pertinent properties of ρ‐Einstein solitons are provided. Secondly, numerous necessary and sufficient conditions of a ρ‐Einstein soliton warped product manifold to make its factor ρ ...
Nasser Bin Turki +5 more
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Sasakian Manifolds Admitting ∗‐η‐Ricci‐Yamabe Solitons
Advances in Mathematical Physics, Volume 2022, Issue 1, 2022., 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 +3 more
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Solitons Equipped with a Semi-Symmetric Metric Connection with Some Applications on Number Theory
Mathematics, 2023 A solution to an evolution equation that evolves along symmetries of the equation is called a self-similar solution or soliton. In this manuscript, we present a study of η-Ricci solitons (η-RS) for an interesting manifold called the (ε)-Kenmotsu manifold
Ali H. Hakami +3 more
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Reduction of gradient Ricci soliton equations [PDF]
Annales Academiae Scientiarum Fennicae: Mathematica, 2018 We consider gradient Ricci solitons conformal to a $n$-dimensional pseudo-Euclidean space and we completely describe the most general ansatz that reduces the resulting system of partial differential equations to a system of ordinary differential ...
B. Leandro, João Paulo dos Santos
semanticscholar +1 more source
Characterization of Ricci Almost Soliton on Lorentzian Manifolds
Symmetry, 2023 Ricci solitons (RS) have an extensive background in modern physics and are extensively used in cosmology and general relativity. The focus of this work is to investigate Ricci almost solitons (RAS) on Lorentzian manifolds with a special metric connection
Yanlin Li +3 more
semanticscholar +1 more source
Stability of K\"ahler-Ricci flow in the space of K\"ahler metrics [PDF]
, 2010 In this paper, we prove that on a Fano manifold $M$ which admits a K\"ahler-Ricci soliton $(\om,X)$, if the initial K\"ahler metric $\om_{\vphi_0}$ is close to $\om$ in some weak sense, then the weak K\"ahler-Ricci flow exists globally and converges in ...
Bando +13 more
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