Results 71 to 80 of about 5,533,278 (165)

On area comparison and rigidity involving the scalar curvature [PDF]

In this thesis we study the effects of lower bounds for the curvature of a Riemannian manifold M on the geometry and topology of closed, minimal hypersurfaces.
Moraru, Vlad
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El problema de Yamabe [PDF]

, 2023
Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2023, Director: Xavier Ros[en] Posed by Hidehiko Yamabe in 1960, the Yamabe problem asks whether it is possible to deform the metric of a given riemannian ...
Domingo Pasarin, Joan
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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.
Sagun Chanillo, Paul C. Yang
openaire   +2 more sources

A Multiplicity Result for the Yamabe Problem on Sn

Journal of Functional Analysis, 1999
Le but de l'article est de mettre en évidence des variétés riemanniennes compactes pour lesquelles le problème de Yamabe admet plusieurs solutions. Partant de la sphère les auteurs considèrent une perturbation \(g= g_0+ \varepsilon f\) de la métrique canonique \(g_0\).
Ambrosetti, Antonio, Malchiodi, Andrea
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Survey on Yamabe problem

, 2010
Yamabe問題內容如下：給定任何一個三維以上的黎曼緊緻流形，找一個保角的度量使得在此度量之下的純量曲率為一定值。此問題已經被Richard Schoen 在 1984 年完全解決。本論文研究此問題的證明。並且對於此問題的拋物偏微分方程版本， Yamabe 流，在本論文中也收錄了一些相關的結果。The Yamabe problem is as following. Given a compact Riemannian manifold of dimension n≥3, find a conformal
張瑞恩, Chang, Jui-En
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Solution of Yamabe Problem

, 2015
In this work we expose the complete solution of the Yamabe Problem: “Given a compact connected Riemannian manifold (M; g) of dimension n ≥ 3; find a metric conformal to g with constant scalar curvature”.
Silva, Sidney Donato da
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On Yamabe's problem---by a modified direct method

Tohoku Mathematical Journal, 1982
In this article, the author gives a new proof of T. Aubin's result to the effect that the total scalar curvature functional achieves its infimum in a given conformal class of metrics provided this infimum is less than its value on the standard sphere. The method is more functional analytical in spirit than Aubin's.
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Some results on the weighted Yamabe problem with or without boundary

. Let (Mn,g,e− ϕdVg,e− ϕdAg,m) be a compact smooth metric measure space with boundary with n ⩾ 3. In this article, we consider several Yamabe-type problems on a compact smooth metric measure space with or without boundary: uniqueness problem on the ...
Ho, Pak Tung;Shin, Jinwoo;Yan, Zetian
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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 $φ$ solution of the following Yamabe type equation Δφ+ hφ= \tilde h φ^{\frac{n+2}{n-2}} where $h\in L^p(M)$, $p>n/2$ and $\tilde h\in \mathbb R$.
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Further results on the fractional Yamabe problem: the umbilic case [PDF]

, 2014
preprintWe prove some existence results for the fractional Yamabe problem in the case that the boundary manifold is umbilic, thus covering some of the cases not considered by Gonz alez and Qing.
González Nogueras, María del Mar
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