Results 31 to 40 of about 30,041 (97)
Equivariant Solutions to the Optimal Partition Problem for the Prescribed Q-Curvature Equation [PDF]
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
semanticscholar +1 more source
Conformal metrics with prescribed scalar and mean curvature [PDF]
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
semanticscholar +1 more source
Prescribing the scalar curvature problem on the four-dimensional half sphere [PDF]
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Alghanemi, Azeb +2 more
openaire +2 more sources
Prescribing the scalar curvature problem on higher-dimensional manifolds
In this paper we consider the problem of existence of conformal metrics with prescribed scalar curvature on n-dimensional Riemannian manifolds, $n \geq 5 $. Using precise estimates on the losses of compactness, we characterize the critical points at infinity of the associated variational problem and we prove existence results for curvatures ...
Randa Ben Mahmoud, Hichem Chtioui
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On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow
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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Prescribed scalar curvature problem on complete manifolds
David Holcman
openalex +2 more sources
A minimization problem arising from prescribing scalar curvature functions
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Li, Ma, Hui, Wang
openaire +1 more source
The Ups and Downs of Cyclic Universes [PDF]
We investigate homogeneous and isotropic oscillating cosmologies with multiple fluid components. Transfer of energy between these fluids is included in order to model the effects of non-equilibrium behavior on closed universes.
Barrow, John D., Clifton, T.
core +4 more sources
Deformation of Scalar Curvature and Volume
The stationary points of the total scalar curvature functional on the space of unit volume metrics on a given closed manifold are known to be precisely the Einstein metrics.
Corvino, Justin +2 more
core +1 more source
Total mean curvature, scalar curvature, and a variational analog of Brown-York mass
We study the supremum of the total mean curvature on the boundary of compact, mean-convex 3-manifolds with nonnegative scalar curvature, and a prescribed boundary metric.
Mantoulidis, Christos, Miao, Pengzi
core +1 more source

