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Applied Mathematics-A Journal of Chinese Universities, 2017
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Kong, Dexing, Liu, Qi
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Kong, Dexing, Liu, Qi
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The discrete Markus–Yamabe problem
Nonlinear Analysis: Theory, Methods & Applications, 1999The three authors answer a discrete time analogue of the Markus-Yamabe question. The question is the following: \(\text{DMYQ}(n)\) [Discrete Markus-Yamabe Question]. Let \(F:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}\) be a \(C^{1}\) map such that \(F(0)=0\) and for any \(x\in \mathbb{R}^{n}\), the Jacobian of \(F\) at \(x\) has all its eigenvalues with ...
Cima, Anna +2 more
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The Yamabe Problem for Distributional Curvature
The Journal of Geometric Analysis, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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1998
Yamabe wanted to solve the Poincare conjecture (see 9.14). For this he thought, as a first step, to exhibit a metric with constant scalar curvature. He considered conformal metrics (the simplest change of metric is a conformal one), and gave a proof of the following statement “On a compact Riemannian manifold (M, g), there exists a metric g′ conformal ...
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Yamabe wanted to solve the Poincare conjecture (see 9.14). For this he thought, as a first step, to exhibit a metric with constant scalar curvature. He considered conformal metrics (the simplest change of metric is a conformal one), and gave a proof of the following statement “On a compact Riemannian manifold (M, g), there exists a metric g′ conformal ...
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YAMABE PROBLEM IN Rn AND RELATED PROBLEMS
Acta Mathematica Scientia, 1990Abstract This paper is concerned with the existence of positive solution of the Yamabe problem in Rn.
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Annali di Matematica Pura ed Applicata (1923 -)
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Discrete Yamabe problem for polyhedral surfaces
2019We introduce a new discretization of the Gaussian curvature on piecewise at surfaces. As the prime new feature the curvature is scaled by the factor 1/r2 upon scaling the metric globally with the factor r. We develop a variational principle to tackle the corresponding discrete uniformisation theorem – we show that each piecewise at surface is discrete ...
Kourimska, Hana, Springborn, Boris
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The Yamabe problem on subdomains of \(S^ 6\)
1994The author proves the following theorem: Let \(\Lambda\) be a finite sum of two dimensional smooth submanifolds of \(S^ 6\). Then there exists on \(S^ 6 \setminus \Lambda\) a complete conformally flat metric of constant positive scalar curvature. This note completes the investigations of \textit{R. Schoen} [Commun. Pure Appl. Math. 41, No.
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A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound
Journal of Functional Analysis, 2014Yanyan Li, Luc Nguyen
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Compactness of solutions to the Yamabe problem. III
Journal of Functional Analysis, 2007Yanyan Li
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