Results 31 to 40 of about 154,368 (243)
A note on Kähler-Ricci soliton [PDF]
International Mathematics Research Notices, 2008 A lemma added; an error ...
Xiuxiong Chen, Song Sun, Gang Tian
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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
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On the existence of stationary Ricci solitons [PDF]
Classical and Quantum Gravity, 2017 15 pages, no ...
Figueras, P, Wiseman, T
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∗-Ricci Tensor on α-Cosymplectic Manifolds
Advances in Mathematical Physics, 2022 In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a ϕ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor
M. R. Amruthalakshmi +3 more
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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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Mathematika, Volume 69, Issue 3, Page 751-779, July 2023., 2023 Abstract In this article, we present new gradient estimates for positive solutions to a class of non‐linear elliptic equations involving the f‐Laplacian on a smooth metric measure space. The gradient estimates of interest are of Souplet–Zhang and Hamilton types, respectively, and are established under natural lower bounds on the generalised Bakry–Émery
Ali Taheri, Vahideh Vahidifar
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Nontrivial breathers for Ricci flow
Bulletin of the London Mathematical Society, Volume 55, Issue 1, Page 344-348, February 2023., 2023 Abstract Perelman has proved that there cannot exist a nontrivial breather for Ricci flow on a closed manifold. Here we construct nontrivial expanding breathers for Ricci flow in all dimensions when the underlying manifold is allowed to be noncompact.
Peter M. Topping
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On Moduli Spaces of Ricci Solitons [PDF]
The Journal of Geometric Analysis, 2013 18 ...
PODESTA', FABIO, Andrea Spiro
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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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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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