Results 41 to 50 of about 7,727 (201)
Kodaira Dimension and the Yamabe Problem [PDF]
, 1997 The Yamabe invariant Y(M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalar curvature Riemannian metrics g on M.
LeBrun, Claude
core
First eigenvalues of geometric operators under the Yamabe flow
, 2018 Suppose $(M,g_0)$ is a compact Riemannian manifold without boundary of dimension $n\geq 3$. Using the Yamabe flow, we obtain estimate for the first nonzero eigenvalue of the Laplacian of $g_0$ with negative scalar curvature in terms of the Yamabe metric ...
Ho, Pak Tung
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Conformal metrics of constant scalar curvature with unbounded volumes
Proceedings of the London Mathematical Society, Volume 131, Issue 1, July 2025.Abstract For n⩾25$n\geqslant 25$, we construct a smooth metric g∼$\tilde{g}$ on the standard n$n$‐dimensional sphere Sn$\mathbb {S}^n$ such that there exists a sequence of smooth metrics {g∼k}k∈N$\lbrace \tilde{g}_k\rbrace _{k\in \mathbb {N}}$ conformal to g∼$\tilde{g}$ where each g∼k$\tilde{g}_k$ has scalar curvature Rg∼k≡1$R_{\tilde{g}_k}\equiv 1 ...
Liuwei Gong, Yanyan Li
wiley +1 more source
Abstract and Applied Analysis, 2014 We present a numerical method for a class of boundary value problems on the unit interval which feature a type of power-law nonlinearity. In order to numerically solve this type of nonlinear boundary value problems, we construct a kind of spectral ...
A. H. Bhrawy +2 more
doaj +1 more source
On Yamabe type problems on Riemannian manifolds with boundary
, 2015 Let $(M,g)$ be a $n-$dimensional compact Riemannian manifold with boundary. We consider the Yamabe type problem \begin{equation} \left\{ \begin{array}{ll} -\Delta_{g}u+au=0 & \text{ on }M \\ \partial_\nu u+\frac{n-2}{2}bu= u^{{n\over n-2}\pm\varepsilon} &
Ghimenti, Marco +2 more
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Solution of the Boolean Markus–Yamabe Problem
Advances in Applied Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shih, Mau-Hsiang, Ho, Juei-Ling
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Invariant surface area functionals and singular Yamabe problem in 3-dimensional CR geometry
, 2017 We express two CR invariant surface area elements in terms of quantities in pseudohermitian geometry. We deduce the Euler-Lagrange equations of the associated energy functionals. Many solutions are given and discussed.
Cheng, Jih-Hsin +2 more
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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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Stability Analysis of Nondifferentiable Systems
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT Differential equations with right‐hand side functions that are not everywhere differentiable are referred to as nondifferentiable systems. This paper introduces three novel methods to address stability issues in nondifferentiable systems.
Jiwoon Sim, Tianxu Wang, Hao Wang
wiley +1 more source
The mixed Yamabe problem for foliations [PDF]
European Journal of Mathematics, 2015 The authors show that if \(\mathcal F\) is a harmonic and nowhere totally geodesic foliation defined by an orientable bundle on a closed Riemannian manifold \((M, g)\), or if \(\mathcal F\) (\(\dim \mathcal F > 1\)) is a totally geodesic foliation defined by an orientable bundle whose normal distribution is integrable on \((M, g)\), then there exists a
Rovenski, Vladimir, Zelenko, Leonid
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