Results 21 to 30 of about 29,420 (189)
Bubbling of Minimizing Sequences for Prescribed Scalar Curvature Problem
Advanced Studies in Pure Mathematics, 2018 S. Takakuwa
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Conformally Prescribed Scalar Curvature on Orbifolds [PDF]
Communications in Mathematical Physics, 2021 We study the prescribed scalar curvature problem in a conformal class on orbifolds with isolated singularities. We prove a compactness theorem in dimension 4, and an existence theorem which holds in dimensions $$n \ge 4$$ n ≥ 4 .
Tao Ju, Jeff Viaclovsky
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Equivariant Solutions to the Optimal Partition Problem for the Prescribed Q-Curvature Equation [PDF]
Journal of Geometric Analysis, 2023 We study the optimal partition problem for the prescribed constant Q-curvature equation induced by the higher-order conformal operators under the effect of cohomogeneity one actions on Einstein manifolds with positive scalar curvature.
J. C. Fern'andez +2 more
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On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow
Analysis and Geometry in Metric Spaces, 2023 Abstract The weighted Yamabe problem introduced by Case is the generalization of the Gagliardo-Nirenberg inequalities to smooth metric measure spaces. More precisely, given a smooth metric measure space (
Ho Pak Tung, Shin Jinwoo
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Infinitely many solutions to the Yamabe problem on noncompact manifolds [PDF]
, 2018 We establish the existence of infinitely many complete metrics with constant scalar curvature on prescribed conformal classes on certain noncompact product manifolds.
Bettiol, R., Piccione, P.
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Conformal metrics with prescribed scalar and mean curvature [PDF]
Journal für die Reine und Angewandte Mathematik, 2021 We consider the case with boundary of the classical Kazdan–Warner problem in dimension greater or equal than three, i.e. the prescription of scalar and boundary mean curvatures via conformal deformations of the metric. We deal in particular with negative
Sergio Cruz-Blázquez +2 more
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The constraint equations for the Einstein-scalar field system on compact manifolds [PDF]
, 2006 We study the constraint equations for the Einstein-scalar field system on compact manifolds. Using the conformal method we reformulate these equations as a determined system of nonlinear partial differential equations.
Andersson L +26 more
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Singular Riemannian Foliations and the prescribing scalar curvature problem
, 2021 An orbit-like foliation is a singular foliation on a complete Riemannian manifold $M$ whose leaves are locally equidistant (i.e., a singular Riemannian foliation) and (transversely) infinitesimally homogenous. This class of singular foliation contains not only the classe of partion of the space into orbits of isometric actions, but also infinite many ...
Alexandrino, Marcos M. +1 more
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Prescribing the scalar curvature problem on the four-dimensional half sphere [PDF]
Arabian Journal of Mathematics, 2016 In this paper, we consider the problem of prescribing scalar curvature under minimal boundary conditions on the standard four-dimensional half sphere. We describe the lack of compactness of the associated variational problem and we give new existence and multiplicity results.
Wael Abdelhedi +2 more
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