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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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Results related to the transverse Yamabe problem
, 2023 Let (M,F,g0) be a Riemannian minimal foliation. The transverse Yamabe problem is to find a metric g in the basic conformal class of g0 such that the transverse scalar curvature of g is constant.
Ho, Pak Tung
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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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, 2023 Yamabe soliton is a self-similar solution to the Yamabe flow on manifolds without boundary. In this paper, we define and study the Yamabe soliton with boundary and conformal mean curvature soliton, which are natural generalizations of the Yamabe soliton.
Ho, Pak-tung
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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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, 2023 In this paper, we first prove a Kazdan–Warner type identity for the problem of prescribing weighted scalar curvature.
Ho, Pak-tung
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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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On the negative case of the Singular Yamabe Problem [PDF]
Journal of Geometric Analysis, 1999 The negative case of the Singular Yamabe Problem concerns the existence and behavior of complete metrics with constant negative scalar curvature on the complement of a closed set in a compact Riemannian manifold which are conformally equivalent to a smooth metric on this compact manifold.
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On the Yamabe problem on contact Riemannian manifolds [PDF]
Annals of Global Analysis and Geometry, 2019 44 ...
Wang, Wei, Wu, Feifan
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