Results 31 to 40 of about 5,936 (174)
Global existence and convergence of Yamabe flow [PDF]
Journal of Differential Geometry, 1994 Let \((M^n,g)\) be closed, \(n \geq 3\), \(R_g\) the scalar curvature of \(g\), \([g_0]\) the conformal class of \(g_0\), \(S(g) = (\text{vol} (g))^{- (n - 2)/n} \int_M R_g d \text{vol} (g)\) and \(s_g = (\text{vol} (g))^{-1} \int_M R_g d \text{vol} (g)\).
Rugang Ye
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Yamabe flow with prescribed scalar curvature [PDF]
Pacific Journal of Mathematics, 2018 In this work, we study the Yamabe flow corresponding to the prescribed scalar curvature problem on compact Riemannian manifolds with negative scalar curvature. The long time existence and convergence of the flow are proved under appropriate conditions on the prescribed scalar curvature function.
Amacha, Inas, Regbaoui, Rachid
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<i>Cornus officinalis</i> Extract Ameliorates Fructose-Induced Hepatic Steatosis in Mice by Sustaining the Homeostasis of Intestinal Microecology and Lipid Metabolism. [PDF]
Food Sci NutrOur study demonstrates that Cornus officinalis ethanol extract delays the progression of fructose‐driven NAFLD by suppressing lipid metabolic dysfunction and gut microbiota‐mediated liver inflammation. Our study provides a novel potential strategy that dietary supplementation with C.
Chen L +9 more
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Convergence of the weighted Yamabe flow
Differential Geometry and its Applications, 2022 We introduce the weighted Yamabe flow $\frac{\partial g}{\partial t}=(r^m_ϕ-R^m_ϕ)g$, $\frac{\partial ϕ}{\partial t}=\frac{m}{2}(R^m_ϕ-r^m_ϕ)$ on a smooth metric measure space $(M^n, g, e^{-ϕ}{\rm dvol}_g, m)$, where $R^m_ϕ$ denotes the associated weighted scalar curvature, and $r^m_ϕ$ denotes the mean value of the weighted scalar curvature.
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The weighted Yamabe flow with boundary
Communications on Pure and Applied Analysis, 2023 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ho, Pak Tung, Shin, Jinwoo, Yan, Zetian
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A generalization of the Yamabe flow for manifolds with boundary [PDF]
Asian Journal of Mathematics, 2002 The author studies two generalizations of the Yamabe problem for manifolds with boundary considering both the scalar curvature and mean curvature. The approach relies on the analysis of the Yamabe flow under appropriate boundary conditions stated in terms of curvature.
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Yamabe flow on manifolds with edges [PDF]
Mathematische Nachrichten, 2013 Let be a compact oriented Riemannian manifold with an incomplete edge singularity. This article shows that it is possible to evolve g by the Yamabe flow within a class of singular edge metrics. As the main analytic step we establish parabolic Schauder‐type estimates for the heat operator on certain Hölder spaces adapted to the singular edge geometry ...
Bahuaud, Eric, Vertman, Boris
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The Yamabe flow on asymptotically flat manifolds
Journal für die reine und angewandte Mathematik (Crelles Journal), 2023 Abstract We study the Yamabe flow starting from an asymptotically flat manifold ( M n
Chen, Eric, Wang, Yi
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Ricci-Bourgoignon Flow on Contact Manifolds
پژوهشهای ریاضی, 2020 Introduction After pioneering work of Hamilton in 1982, Ricci flow and other geometric flows became as one of the most interesting topics in both mathematics and physics.
Ghodratallah Fasihi-Ramandi +1 more
doaj
Cancer Reports, Volume 8, Issue 12, December 2025.ABSTRACT Background Ocular adnexal (OA) metastasis from renal cell carcinoma (RCC) is a very rare end‐stage entity with a poor prognosis. Reported here is a case of metastatic RCC for which combination therapy with lenvatinib plus pembrolizumab was given for OA metastasis and achieved an excellent response.
Yozo Mitsui +6 more
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