搜索结果: 1-13 共查到“数学 Manifolds with Boundary”相关记录13条 . 查询时间(0.078 秒)
Maximal multipliers on compact manifolds without boundary
Maximal multipliers compact manifolds boundary Analysis of PDEs
2012/7/11
Hormander-Mihklin type multiplier theorem on compacts manifolds withour boundary has been obtained by using the wave kernels. We consider maximal multiplies on this setting. To obtain the result, we c...
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...
The twisted Alexander polynomial for finite abelian covers over three manifolds with boundary
Reidemeister torsion:Twisted Alexander polynomial:branched cover:links:Homology orientation
2011/9/13
Abstract: We consider a sign--determined Reidemeister torsion with multivariables for three manifolds with boundary. This invariant is often called the twisted Alexander polynomial when we consider li...
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...
Quasilinear Parabolic Equations and the Ricci Flow on Manifolds with Boundary
Quasilinear Parabolic Equations Ricci Manifolds with Boundary
2011/1/21
The first part of the paper discusses a second-order quasilinear parabolic equation in a vector bundle over a compact manifold M with boundary @M. We establish a short-time existence theorem for this ...
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...
Blow-up phenomena for scalar-flat metrics on manifolds with boundary
Blow-up phenomena scalar-flat metrics
2010/11/23
Let (M,g) be a compact n-dimensional Riemannian manifold with boundary. This article is concerned with the set of scalar-flat metrics on M which are in the conformal class of g and have the boundary ...
The Connes-Chern Character and The Atiyah-Patodi-Singer Index Theorem for Odd Dimensional Manifolds with Boundary
The Connes-Chern Character The Atiyah-Patodi-Singer Index Theorem
2010/11/9
We prove an analogue for odd dimensional manifolds with boundary, in the $b$-calculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and by Wu.
On existence of the prescribing k-curvature problem on manifolds with boundary
existence prescribing k-curvature problem manifolds with boundary
2018/4/19
In this paper we study the problem of conformally deforming a metric to a prescribed k-th order symmetric function of the eigenvalues of the Schouten tensor on compact Riemannian manifolds with totall...
Suppose there are two framed links in a compact, connected 3-manifold (possibly with boundary, or non-orientable) such that the associated 3-manifolds obtained by surgery are homeomorphic (relative to...
Differential Forms and the Noncommutative Residue for Manifolds with Boundary II non-product metric case(to appear in Lett. Math. Phys.)(amend on 2-23-2006)
Noncommutative residue for manifolds with boundary non-product metric conformal invariant
2018/4/20
In this paper, for an even dimensional compact manifold with boundary which has the non-product metric near the boundary, we use the noncommutative residue to deˉne a conformal invariant pair. For a 4...
GRAVITY AND THE WODZICKI RESIDUE FOR MANIFOLDS WITH BOUNDARY (amend on 2-23-2006)
Noncommutative residue for manifolds with boundary gravitational action for manifolds with boundary
2018/4/20
We prove a Kastler-Kalau-Walze type theorem for the Dirac operator and the signature operator for manifolds with boundary. As a corollary, for the boundary
°at case, we give two kinds of operator the...
For non-compact manifolds with boundary we prove that bounded geometry defined by coordinate-free curvature bounds is equivalent to bounded geometry defined using bounds on the metric tensor in geode...