Results 101 to 110 of about 278 (126)
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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 ...
Armengol Gasull, Francesc Mañosas
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Applied Mathematics, 2017
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Dexing Kong
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Dexing Kong
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Annali Di Matematica Pura Ed Applicata
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Pak Tung Ho, Ho Pak Tung
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Pak Tung Ho, Ho Pak Tung
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Chern-Yamabe problem and Chern-Yamabe soliton
International Journal of Mathematics, 2021Let [Formula: see text] be a compact complex manifold of complex dimension [Formula: see text] endowed with a Hermitian metric [Formula: see text]. The Chern-Yamabe problem is to find a conformal metric of [Formula: see text] such that its Chern scalar curvature is constant.
Pak Tung Ho, Jinwoo Shin
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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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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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Fractional Yamabe solitons and fractional Nirenberg problem
Communications on Pure and Applied Analysis, 2021Pak Tung Ho, Rong Tang
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A compactness theorem for a fully nonlinear Yamabe problem under a lower Ricci curvature bound
Journal of Functional Analysis, 2014Luc Nguyen, Yanyan Li
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