Results 141 to 150 of about 4,567,624 (190)

On the Chern–Yamabe Flow

The Journal of Geometric Analysis, 2017
On a closed balanced manifold, we show that if the Chern scalar curvature is small enough in a certain Sobolev norm, then a slightly modified version of the Chern–Yamabe flow (Angella et al.
Mehdi Lejmi, Ali Maalaoui
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Infinite-time incompleteness of noncompact Yamabe flow

Calculus of Variations and Partial Differential Equations, 2021
We show the noninheritance of the completeness of the noncompact Yamabe flow. Our main theorem states the existence of a long time solution which is complete for each time and converges to an incomplete Riemannian metric. This shows the occurrence of the
J. Takahashi, Hikaru Yamamoto
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Convergence of the CR Yamabe flow [PDF]

Mathematische Annalen, 2017
We consider the CR Yamabe flow on a compact strictly pseudoconvex CR manifold M of real dimension $$2n+1$$2n+1. We prove convergence of the CR Yamabe flow when $$n=1$$n=1 or M is spherical.
P. Ho, Weimin Sheng, Kunbo Wang
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A Note on the Weighted Yamabe Flow

Regular and Chaotic Dynamics, 2023
The author introduces a natural generalization of the classical combinatorial Ricci flow introduced by \textit{B. Chow} and \textit{F. Luo} [J. Differ. Geom. 63, No. 1, 97--129 (2003; Zbl 1070.53004)], which the author calls the weighted Ricci flow. To study its properties, the author uses the discrete conformal transformation introduced by \textit{F ...
T. Popelensky
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The exponential convergence of the CR Yamabe flow [PDF]

Science China Mathematics, 2018
In this paper, we study the CR (Cauchy-Riemann) Yamabe flow with zero CR Yamabe invariant. We use the CR Poincaré inequality and a Gagliardo-Nirenberg type interpolation inequality to show that this flow has the long time solution and the solution ...
Weimin Sheng, Kunbo Wang
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Monotonicity of First Eigenvalues along the Yamabe Flow

Czechoslovak Mathematical Journal, 2020
We construct some nondecreasing quantities associated to the first eigenvalue of −Δφ+cR(c≥12(n−2)/(n−1))\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Liangdi Zhang
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Extending CR Yamabe flow and Yamabe flow with boundary

Journal of Mathematical Analysis and Applications
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pak Tung Ho
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A Dual Yamabe Flow and Related Integral Flows

Chinese Annals of Mathematics, Series B
We study a family of nonlinear integral flows that involve Riesz potentials on Riemannian manifolds. In the Hardy-Littlewood-Sobolev (HLS) subcritical regime, we present a precise blow-up profile exhibited by the flows. In the HLS critical regime, by introducing a \textit{dual $Q$ curvature} we demonstrate the concentration-compactness phenomenon.
Jingang Xiong
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