【摘 要】
：
The conformal fractional Laplacian is a pseudo-differential operator on the conformal infinity of a conformally compact Einstein manifold,and it is construc
【机 构】
：
UniversitatPolitecnicadeCatalunya
【出 处】
：
International Workshop on Conformal Geometry and Geometric P
论文部分内容阅读
The conformal fractional Laplacian is a pseudo-differential operator on the conformal infinity of a conformally compact Einstein manifold,and it is constructed through scattering theory.Fractional order curvature is defined from the conformal fractional Laplacian and can be understood a non-local generalization of mean curvature.In this minicourse we will formulate the(fractional)Yamabe problem and give the solution in several cases.Although the operator is nonlocal,the main idea is to write a local extension problem that can be handled through elliptic methods.
其他文献
This is a joint work with Mijia Lai of Shanghai Jiaotong University.We show that spheres of positive constant curvature with n(n ? 3)conic points converge t
I will describe some conformally covariant operators on a smooth metric measure space with boundary which,when coupled with the weighted Paneitz operator,fo
In this talk,we discuss boundary expansions for complete Kahler Einstein metrics in bounded strictly pseudoconvex domains.We developed an ODE iteration meth
In around 2001,Graham and Zworski have introduced boundary type GJMS operators through the scattering theory on conformal compact Einstein manifolds.These a
In these lectures I will give an overview of a proof of existence,via gluing methods,of metrics which are critical points of quadratic Riemannian functional
In this talk I will discuss the isoperimetric problem in the Heisenberg group viewed as a subriemannian manifold.First we still have notions of area and mea
In this talk,we present some results on the critical points to the generalized Ginzburg-Landau equations in dimensions n ≥ 3 which satisfy a suitable energ
The Lowner-Nirenberg problem,which is also known as the singular Yamabe problem,is related to the existence of a complete conformal metric with constant sca
The study of fourth order Paneitz operator and associated Q curvature improves our knowledge of four dimensional conformal geometry.Here we will describe so
In this minicourse I will first introduce the Gauss-Bonnet-Chern curvature and discuss its properties.It is a natural generalization of the scalar curvature