Results 61 to 70 of about 7,385 (153)

Singular Yamabe Problem Willmore Energies

, 2015
We develop the calculus for hypersurface variations based on variation of the hypersurface defining function. This is used to show that the functional gradient of a new Willmore-like, conformal hypersurface energy agrees exactly with the obstruction to smoothly solving the singular Yamabe problem for conformally compact four-manifolds. We give explicit
Glaros, Michael, Gover, A. Rod, Halbasch, Matthew, Waldron, Andrew   +3 more
openaire   +3 more sources

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, Brittany Keen, Polo Guilbert‐Wright, Kaoru Yamabe, Dale J. Murdoch   +4 more
wiley   +1 more source

The Singular CR Yamabe Problem and Hausdorff Dimension

Communications in Contemporary Mathematics
In this paper we consider CR analogs of Huber’s theorem for Riemann surfaces. We also investigate the developing map for CR structures that are spherical in the case of three dimensional CR manifolds and give conditions when this developing map is injective.
Chanillo, Sagun, Yang, Paul C.
openaire   +2 more sources

The weighted Yamabe problem with boundary

, 2022
We introduce a Yamabe-type flow \begin{align*} \left\{ \begin{array}{ll} \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) \end{array} \right. ~~\mbox{ in }M ~~\mbox{ and }~~ H^m_ϕ=0 ~~\mbox{ on }\partial M \end{align*} on a smooth metric measure space with boundary $(M,g, v^mdV_g,v^mdA_g,
Ho, Pak Tung, Shin, Jinwoo, Yan, Zetian
openaire   +2 more sources

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

On Gauss-Bonnet Curvatures

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
doaj  

Volume comparison and the sigma_k-Yamabe problem

, 2002
In this paper we study the problem of finding a conformal metric with the property that the k-th elementary symmetric polynomial of the eigenvalues of its Weyl-Schouten tensor is constant. A new conformal invariant involving maximal volumes is defined, and this invariant is then used in several cases to prove existence of a solution, and compactness of
Gursky, Matthew J., Viaclovsky, Jeff A.
openaire   +3 more sources

Successful treatment of ejaculation pain with silodosin in patient with Zinner syndrome: a case report. [PDF]

Transl Androl Urol, 2023
Uetani M, Yamabe F, Hori S, Aoki H, Sakurabayashi K, Okawa M, Kobayashi H, Nakajima K, Nagao K, Mitsui Y.   +9 more
europepmc   +1 more source

Energy Quantization for Yamabe's problem in Conformal Dimension

Electronic Journal of Differential Equations, 2006
T. Riviere proved an energy quantization for Yang-Mills fields defined on n-dimensional Riemannian manifolds, when $n$ is larger than the critical dimension 4. More precisely, he proved that the defect measure of a weakly converging sequence of Yang-Mills fields is quantized, provided the $W^{2,1}$ norm of their curvature is uniformly bounded.
openaire   +4 more sources

The Yamabe problem with singularities

, 2008
Let $(M,g)$ be a compact Riemannian manifold of dimension $n\geq 3$. Under some assumptions, we prove that there exists a positive function $ $ solution of the following Yamabe type equation + h = \tilde h ^{\frac{n+2}{n-2}} where $h\in L^p(M)$, $p>n/2$ and $\tilde h\in \mathbb R$. We give the regularity of $ $ with respect to the value of $
openaire   +2 more sources