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Convergence of scalar-flat metrics on manifolds with boundary under the Yamabe flow
Convergence of scalar-flat metrics manifolds boundary under the Yamabe flow Differential Geometry
2012/6/21
This paper is concerned with a Yamabe-type flow for compact Riemannian manifolds with boundary. The convergence of this flow is established if the manifold with boundary satisfies either a generic con...
Abstract: We show that if (M,\omega) is a closed symplectic manifold which admits a nontrivial Hamiltonian vector field all of whose contractible closed orbits are constant, then Hofer's metric on the...
Mass-capacity inequalities for conformally flat manifolds with boundary
Mass-capacity inequalities conformally flat manifolds boundary
2011/8/29
Abstract: In this paper we prove a mass-capacity inequality and a volumetric Penrose inequality for conformally flat manifolds, in arbitrary dimensions. As a by-product of the proofs, capacity and Ale...
Positive solutions of singularly perturbed nonlinear elliptic problem on Riemannian manifolds with boundary
Positive solutions of singularly perturbed nonlinear elliptic Riemannian manifolds boundary
2011/2/28
Let (M, g) be a smooth connected compact Riemannian manifold of finite dimension n ≥ 2 with a smooth boundary @M. We consider the problem −"2gu + u = |u|p−2u, u > 0 on M, @u @= 0 on @M w...
Boundary value problems on Riemannian Symmetric Spaces of the noncompact Type
Boundary value problems Riemannian the noncompact Type
2010/11/11
We characterize the image of the Poisson transform on each boundary component of a Riemannian symmetric space of the noncompact type by a system of differential equations. The system corresponds to a...
We prove an analogue for a one-phase free boundary problem of the classical gradient bound for solutions to the minimal surface equation. It follows, in particular, that every energy-minimizing free b...
Test of the Possible Application of the Half-Way Bounce-Back Boundary
Condition for Lattice Boltzmann Methods in Complex Geometry
lattice Boltzmann method
2007/8/15
2001Vol.35No.5pp.593-596DOI:
Test of the Possible Application of the Half-Way Bounce-Back Boundary
Condition for Lattice Boltzmann Methods in Complex Geometry
WAN Rong-Zheng and F...
Boundary Points of Self-Affine Sets in R
Self-affine sets boundary points strict product-form digits
2010/3/1
Let A be an n \times n expanding matrix with integer entries and D = \{0, d1, ... , dN-1 \} \subseteq {\Bbb{Z}}n be a set of N distinct vectors, called an N-digit set. The unique non-empty compact set...
The Bisognano-Wichmann Theorem for Charged States and the Conformal Boundary of a Black Hole
The Bisognano-Wichmann Theorem Charged States Conformal Boundary
2010/11/2
Recent applications of Operator Algebras to Quantum Field Theory on a Curved Spacetime show that the incremental entropy associated with a quantum black hole, due the addition of a short range charge...