Results 41 to 50 of about 7,599 (162)
Singular CR structures of constant Webster curvature and applications
Mathematische Nachrichten, Volume 297, Issue 3, Page 943-961, March 2024.Abstract We consider the sphere S2n+1$\mathbb {S}^{2n+1}$ equipped with its standard contact form. In this paper, we construct explicit contact forms on S2n+1∖S2k+1$\mathbb {S}^{2n+1}\setminus \mathbb {S}^{2k+1}$, which are conformal to the standard one and whose related Webster metrics have constant Webster curvature; in particular, it is positive if ...
Chiara Guidi +2 more
wiley +1 more source
Plant‐derived compounds as potential leads for new drug development targeting COVID‐19
Phytotherapy Research, Volume 38, Issue 3, Page 1522-1554, March 2024.Abstract COVID‐19, which was first identified in 2019 in Wuhan, China, is a respiratory illness caused by a virus called severe acute respiratory syndrome coronavirus 2 (SARS‐CoV‐2). Although some patients infected with COVID‐19 can remain asymptomatic, most experience a range of symptoms that can be mild to severe. Common symptoms include fever, cough,
Lingxiu Liu, Maxim Kapralov, Mark Ashton
wiley +1 more source
A note on extremal functions for sharp Sobolev inequalities
Electronic Journal of Differential Equations, 2007 In this note we prove that any compact Riemannian manifold of dimension $ngeq 4$ which is non-conformal to the standard n-sphere and has positive Yamabe invariant admits infinitely many conformal metrics with nonconstant positive scalar curvature on
Marcos Montenegro, Ezequiel R. Barbosa
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Patient preferences for heart valve disease intervention
Health Expectations, Volume 27, Issue 1, February 2024.Abstract Background This study aimed to determine how patients trade‐off the benefits and risks of two different types of procedures used to treat heart valve disease (HVD). It also aimed to determine patients' preferences for HVD treatments (predicted uptake) and the relative importance of each treatment attribute. Methods A discrete choice experiment
Simon Fifer +4 more
wiley +1 more source
Solving the Yamabe Problem by an Iterative Method on a Small Riemannian Domain [PDF]
, 2021 Steven Rosenberg, Jie Xu
openalex +1 more source
Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
wiley +1 more source
A Variational Approach to the Yamabe Problem: Conformal Transformations and Scalar Curvature on Compact Riemannian Manifolds [PDF]
, 2023 Aoran Chen
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Semilinear parabolic problems on manifolds and applications to the non-compact Yamabe problem
Electronic Journal of Differential Equations, 2000 We show that the well-known non-compact Yamabe equation (of prescribing constant positive scalar curvature) on a manifold with non-negative Ricci curvature and positive scalar curvature behaving like $c/d(x)^2$ near infinity can not be solved if the ...
Qi S. Zhang
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Existence result for the CR-Yamabe equation
Bruno Pini Mathematical Analysis Seminar, 2013 In this note we will prove that the CR-Yamabe equation has infinitely many changing-sign solutions. The problem is variational but the associated functional does not satisfy the Palais-Smale compactness condition; by mean of a suitable group action we ...
Vittorio Martino
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Symmetry, Integrability and Geometry: Methods and Applications, 2007 The $(2k)$-th Gauss-Bonnet curvature is a generalization to higher dimensions of the $(2k)$-dimensional Gauss-Bonnet integrand, it coincides with the usual scalar curvature for $k = 1$.
Mohammed Larbi Labbi
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