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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...
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 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...
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...
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 ...
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...
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 ...
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.
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...
Kirby Calculus in Manifolds with Boundary     Kirby Calculus  Boundary       font style='font-size:12px;'> 2010/3/5
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...
2001Vol.35No.3pp.263-266DOI: Condition of Prequantization to Two-Dimensional Manifolds with Boundary SHAO Ming-Xue2,3 and ZHU Zhong-Yuan1 1 Institute of Theoretical Phy...
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...
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...
Manifolds with boundary and of bounded geometry     Manifolds  boundary  bounded geometry       font style='font-size:12px;'> 2010/10/29
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...

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