Results 11 to 20 of about 6,006 (168)
The Yamabe flow on incomplete manifolds [PDF]
Journal of Evolution Equations, 2017 This article is concerned with developing an analytic theory for second order nonlinear parabolic equations on singular manifolds. Existence and uniqueness of solutions in an Lp-framework is established by maximal regularity tools.
Shao, Yuanzhen
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A dual Yamabe flow and related integral flows [PDF]
Chinese Annals of Mathematics, Series B, 2023 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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CR Yamabe constant, CR Yamabe flow and its soliton [PDF]
Nonlinear Analysis, 2020 To appear in NONLINEAR ANALYSIS-THEORY METHODS & ...
Pak Tung Ho, Kunbo Wang
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Convergence of the Weighted Yamabe Flow [PDF]
Differential Geometry and its Applications, 2021 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.
Zetian Yan
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Combinatorial Yamabe Flow on Surfaces [PDF]
Communications in Contemporary Mathematics, 2003 In this paper we develop an approach to conformal geometry of piecewise flat metrics on manifolds. In particular, we formulate the combinatorial Yamabe problem for piecewise flat metrics. In the case of surfaces, we define the combinatorial Yamabe flow on the space of all piecewise flat metrics associated to a triangulated surface.
Feng Luo
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Convergence rate of the weighted Yamabe flow [PDF]
Differential Geometry and its Applications, 2022 arXiv admin note: substantial text overlap with arXiv:2107.09616.
Pak Tung Ho, Jinwoo Shin, Zetian Yan
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The Yamabe flow on asymptotically Euclidean manifolds with nonpositive Yamabe constant [PDF]
Journal of Functional Analysis, 2022 We study the Yamabe flow on asymptotically flat manifolds with non-positive Yamabe constant $Y\leq 0$. Previous work by the second and third named authors \cite{ChenWang} showed that while the Yamabe flow always converges in a global weighted sense when $Y>0$, the flow must diverge when $Y\leq 0$.
Gilles Carron, Chen, Eric, 王怡
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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.
Pak Tung Ho, Jinwoo Shin, Zetian Yan
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A Case of Atrial Septal Defect Unveiled by the Treatment for Pulmonary Arterial Hypertension. [PDF]
Clin Case RepABSTRACT We present a case of a 51‐year‐old woman with atrial septal defect (ASD) masked by pulmonary arterial hypertension (PAH). Three months after PAH treatment with a combination of endothelin receptor antagonist and phosphodiesterase five inhibitor, the transthoracic echocardiography revealed left‐to‐right shunting through a secundum ASD.
Fujii T +12 more
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