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International Conference “Analysis and PDEs on Manifolds”
International Conference Analysis and PDEs on Manifolds
2017/7/5
This conference is organized jointly by Nankai University and University of Bielefeld (Germany). We would like to attract to the conference experts working on different aspects of PDEs on manifo...
This course was given at ENSET Oran, November 4-9, 2006. It is
an introduction to isometric actions of Lie groups on Lorentz manifolds.
Several examples are presented, followed by general defi...
Isometric actions of Heisenberg groups on compact Lorentz manifolds
Heisenberg groupsl Lorentz manifolds
2015/10/14
We prove results toward classifying compact Lorentz manifolds on
which Heisenberg groups act isometrically. We give a general construction,
leading to a new example, of codimension-one actions—those...
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical,
real-analytic, complete Lorentz manifold such that the isometry grou...
UNIFORMLY ELLIPTIC OPERATORS ON RIEMANNIAN MANIFOLDS
RIEMANNIAN MANIFOLDS ELLIPTIC OPERATORS
2015/8/26
Given a Riemannian manifold (M, g), we study the solutions of heat
equations associated with second order differential operators in divergence
form that are uniformly elliptic with respect to g . Ty...
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...
Abstract: This article studies local existence and uniqueness of Yamabe flow within a class of compact Riemannian manifolds with incomplete edge singularities. Our main analytic step is to establish p...
Improved local energy decay for the wave equation on asymptotically Euclidean odd dimensional manifolds in the short range case
Local energy decay resolvent smoothness wave equation odd dimensions low frequencies asymptotically Euclidean manifolds
2011/9/21
Abstract: We show improved local energy decay for the wave equation on asymptotically Euclidean manifolds in odd dimensions in the short range case. The precise decay rate depends on the decay of the ...
Absence of Resonances near Critical Line for CC Manifolds
Absence of Resonances Critical Line CC Manifolds
2011/8/22
Abstract: We find a resonance free region polynomially close to the critical line on Conformally compact manifolds with polyhomogeneous metric.
Simplicial volume and fillings of hyperbolic manifolds
Simplicial volume fillings of hyperbolic manifolds
2011/1/18
Let M be a hyperbolic n–manifold whose cusps have torus crosssections.In [FM10], the authors constructed a variety of nonpositively and negatively curved spaces as “2–fillings” of M by replacing the ...
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 ...
On the number of nodal solutions for a nonlinear elliptic problem on symmetric Riemannian manifolds
RiemannianManifolds Nodal Solutions Topological Meth-ods
2011/2/28
We consider the problem −"2gu+u = |u|p−2u in M, where (M, g) is a symmetric Riemannian manifold. We give a multiplicity result for antisymmetric changing sign solutions.
Uniqueness of the Foliation of Constant Mean Curvature Spheres in Asymptotically Flat 3-Manifolds
Uniqueness Foliation of Constant Mean Curvature Spheres Asymptotically Flat 3-Manifolds
2011/2/21
In this paper I study the constant mean curvature surface in asymp-totically flat 3-manifolds with general asymptotics. Under some weak condition, I prove that outside some compact set in the asymptot...
Compact Mean Convex Hypersurfaces and the Fundamental Group of Manifolds with Nonnegative Ricci Curvature
Compact Mean Convex Hypersurfaces Fundamental Group of Manifolds Nonnegative Ricci Curvature
2011/1/19
We show that the existence of an embedded compact, boundaryless hypersurface S of strictly
positive mean curvature in a noncompact, connected, complete Riemannian n-manifold N of non-
negative Ricci...
Geometric shape of invariant manifolds for a class of stochastic partial differential equations
Stochastic partial differential equation invariant manifolds geometric shape
2010/12/6
Invariant manifolds play an important role in the study of the qualitative dynamical behaviors for nonlinear stochastic partial differential equations. However, the geometric shape of
these manifolds...