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Yamabe Problem for Kropina Metrics
Bulletin of the Iranian Mathematical Society, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Behzad Najafi +2 more
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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 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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Equivariant Yamabe problem and Hebey–Vaugon conjecture [PDF]
Journal of Functional Analysis, 2010 In their study of the Yamabe problem in the presence of isometry groups, E. Hebey and M. Vaugon announced a conjecture. This conjecture generalizes T. Aubin's conjecture, which has already been proven and is sufficient to solve the Yamabe problem.
Madani, Farid
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Compactness of solutions to the Yamabe problem. II [PDF]
Calculus of Variations and Partial Differential Equations, 2005 We study compactness of solutions to the Yamabe problem on Riemannian manifolds which are not locally conformally flat.
Yanyan Li
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Concentration on minimal submanifolds for a Yamabe-type problem [PDF]
Communications in Partial Differential Equations, 2016 We build solutions which blow-up along a minimal submanifold for a supercritical Yamabe ...
Shengbing Deng +2 more
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Applied Mathematics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kong, Dexing, Liu, Qi
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Kong, Dexing, Liu, Qi
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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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