Results 11 to 20 of about 736 (175)
About the Lorentzian Yamabe problem [PDF]
Geometriae Dedicata, 2015 International audienceWe investigate the solutions to the Yamabe problem on globally hyperbolic spacetimes. On standard static spacetimes, we prove the existence of global solutions and show with the help of examples that uniqueness does not hold in ...
Ginoux, Nicolas
core +4 more sources
The Yamabe problem on stratified spaces [PDF]
Geometric and Functional Analysis, 2014 44 pagesInternational audienceWe introduce new invariants of a Riemannian singular space, the local Yamabe and Sobolev constants, and then go on to prove a general version of the Yamabe theorem under that the global Yamabe invariant of the space is ...
Carron, Gilles +2 more
core +5 more sources
On a fully nonlinear Yamabe problem [PDF]
Annales Scientifiques de l’École Normale Supérieure, 2006 International audienceWe solve the sigma(2)-Yamabe problem for a nonlocally conformally flat manifold of dimension n > 8.
Wang, Guofang +3 more
core +4 more sources
Discrete Yamabe Problem for Polyhedral Surfaces. [PDF]
Discrete Comput Geom, 2023 AbstractWe study a new discretization of the Gaussian curvature for polyhedral surfaces. This discrete Gaussian curvature is defined on each conical singularity of a polyhedral surface as the quotient of the angle defect and the area of the Voronoi cell corresponding to the singularity.
Dal Poz Kouřimská H.
europepmc +4 more sources
Solution of the Boolean Markus–Yamabe Problem
Advances in Applied Mathematics, 1999 The main point in the design of content addressable memory would be under what conditions the state possessing the total information can attract all other states in the phase of the system.
Ho, Juei-Ling, Shih, Mau-Hsiang
core +2 more sources
Yamabe boundary problem with scalar-flat manifolds target
Electronic Journal of Differential Equations, 2023 We present a survey on the compactness of the set of solutions for the Yamabe problem on manifolds with boundary.
Marco G. Ghimenti, Anna Maria Micheletti
doaj +1 more source
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
openaire +3 more sources
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
openaire +4 more sources
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
doaj +1 more source
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.
openaire +3 more sources