Results 31 to 40 of about 6,006 (168)
New type I ancient compact solutions of the Yamabe flow [PDF]
, 2016 We construct new ancient compact solutions to the Yamabe flow. Our solutions are rotationally symmetric and converge, as t→−∞, to two self-similar complete non-compact solutions to the Yamabe flow moving in opposite directions.
Daskalopoulos, Panagiota +3 more
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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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An Introduction to Conformal Ricci Flow [PDF]
, 2003 We introduce a variation of the classical Ricci flow equation that modifies the unit volume constraint of that equation to a scalar curvature constraint.
Anderson M +43 more
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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.
openaire +2 more sources
Incomplete Yamabe flows and removable singularities [PDF]
Journal of Functional Analysis, 2020 We study the Yamabe flow on a Riemannian manifold of dimension $m\geq3$ minus a closed submanifold of dimension $n$ and prove that there exists an instantaneously complete solution if and only if $n>\frac{m-2}{2}$. In the remaining cases $0\leq n\leq\frac{m-2}{2}$ including the borderline case, we show that the removability of the $n$-dimensional ...
Mario B. Schulz
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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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Conic manifolds under the Yamabe flow [PDF]
Journal of Evolution Equations, 2019 11 ...
Nikolaos Roidos
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Slowly converging Yamabe flows [PDF]
Geometry & Topology, 2015 We characterize the rate of convergence of a converging volume-normalized Yamabe flow in terms of Morse theoretic properties of the limiting metric. If the limiting metric is an integrable critical point for the Yamabe functional (for example, this holds when the critical point is non-degenerate), then we show that the flow converges exponentially fast.
Carlotto A. +2 more
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Unconditional existence of conformally hyperbolic Yamabe flows
, 2019 We prove global existence of instantaneously complete Yamabe flows on hyperbolic space of arbitrary dimension $m\geq3$ starting from any smooth, conformally hyperbolic initial metric. We do not require initial completeness or curvature bounds.
Schulz, Mario B.
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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
europepmc +2 more sources