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Applied Mathematics, 2017
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Dexing Kong
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Dexing Kong
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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.
Najafi, Behzad +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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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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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 ...
Monica Musso +2 more
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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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We study the equivariant CR Yamabe problem for a fixed-point-free torus action on a co-oriented compact contact manifold. Such examples arise naturally in the study of Sasakian manifolds with constant scalar curvature. In the toric case, we show that this problem is equivalent to a kind of boundary value problem for an elliptic PDE on a pair of ...
Legendre, Eveline +2 more
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Legendre, Eveline +2 more
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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 Multiplicity Result for the Yamabe Problem on S
Journal of Functional Analysis, 1999Andrea Malchiodi, Antonio Ambrosetti
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