Results 31 to 40 of about 30,041 (97)

Equivariant Solutions to the Optimal Partition Problem for the Prescribed Q-Curvature Equation [PDF]

open access: yesJournal 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
semanticscholar   +1 more source

Conformal metrics with prescribed scalar and mean curvature [PDF]

open access: yesJournal 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
semanticscholar   +1 more source

Prescribing the scalar curvature problem on the four-dimensional half sphere [PDF]

open access: yesArabian Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Alghanemi, Azeb   +2 more
openaire   +2 more sources

Prescribing the scalar curvature problem on higher-dimensional manifolds

open access: yesDiscrete & Continuous Dynamical Systems - A, 2012
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
openaire   +1 more source

On the problem of prescribing weighted scalar curvature and the weighted Yamabe flow

open access: yesAnalysis 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
openaire   +2 more sources

A minimization problem arising from prescribing scalar curvature functions

open access: yesMathematische Zeitschrift, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Li, Ma, Hui, Wang
openaire   +1 more source

The Ups and Downs of Cyclic Universes [PDF]

open access: yes, 2007
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

open access: yes, 2013
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

open access: yes, 2016
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

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