Results 11 to 20 of about 279 (142)
On the Chern–Yamabe problem [PDF]
Mathematical Research Letters, 2017 We initiate the study of an analogue of the Yamabe problem for complex manifolds. More precisely, fixed a conformal Hermitian structure on a compact complex manifold, we are concerned in the existence of metrics with constant Chern scalar curvature.
ANGELLA, DANIELE +2 more
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A note on Chern-Yamabe problem [PDF]
Differential Geometry and its Applications, 2020 We propose a flow to study the Chern-Yamabe problem and discuss the long time existence of the flow. In the balanced case we show that the Chern-Yamabe problem is the Euler-Lagrange equation of some functional. The monotonicity of the functional along the flow is derived. We also show that the functional is not bounded from below.
Calamai, Simone, Zou, Fangyu
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The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus
Advanced Nonlinear Studies, 2023 In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\mathbb{S}}}^{3} bounded by the Clifford torus Σ\Sigma is discussed.
Case Jeffrey S. +4 more
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Bulletin of the American Mathematical Society, 1987 This is a basically self-contained account of the solution to the Yamabe problem, covering the steps due to Yamabe, Trudinger, Aubin and Schoen and including Witten's proof of the positive mass theorem. The presentation contains various improvements over arguments existing in the literature.
Lee, John M., Parker, Thomas H.
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Results in Applied Mathematics, 2021 We consider a nonlinear partial differential equation of Yamabe-type. In Boucheche (2019), it has been proved that the problem admits a solution under the assumption that the gradient of the associated variational functional is lower bounded by a ...
Khadijah Sharaf
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Kodaira dimension and the Yamabe problem, II
Communications in Analysis and Geometry, 2023 25 pages ...
Albanese, Michael, LeBrun, Claude
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A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics
Journal of Applied Mathematics, 2012 This paper is about a problem concerning nonlinear Yamabe-type operators of negative admissible metrics. We first give a result on σk Yamabe problem of negative admissible metrics by virtue of the degree theory in nonlinear functional analysis and the ...
Jin Liang, Huan Zhu
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Surveys in Differential Geometry, 2012 1.1. The k-Yamabe problem. The k-Yamabe problem is a higher order extension of the celebrated Yamabe problem for scalar curvature. It was initially proposed by Viaclovsky [72] and also arose in the study of Q-curvatures in [11]. Viaclovsky found that in a conformal metric, the resultant k-curvature equation can be expressed as an equation similar to ...
Sheng, Weimin +2 more
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Kodaira dimension and the Yamabe problem [PDF]
Communications in Analysis and Geometry, 1999 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. (To be absolutely precise, one only considers constant-scalar-curvature metrics which are Yamabe minimizers, but this does not affect the sign of the answer.) If M is the underlying ...
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Group Actions On The Sphere And Multiplicity Results For The Cr-Yamabe Equation
Bruno Pini Mathematical Analysis Seminar, 2015 We will show that the CR-Yamabe equation has several families of infinitely many changing sign solutions, each of them having different symmetries. The problem is variational but it is not Palais-Smale: using different complex group actions on the sphere,
Vittorio Martino
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