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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity results in mapping class groups and homeomorphism groups
映射类群 同胚群 刚性结果
2023/11/13
Mapping class groups and homeomorphism groups are symmetry groups of surfaces and all manifolds. They are usually very rigid, in the sense that their automorphism groups only consist of conjugation. I...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Spectral rigidity and joint integrability for Anosov diffeomorphisms on tori
环形 阿诺索夫微分同胚 谱刚度 联合可积性
2023/4/14
In this talk, we address on the strong rigidity properties from joint integrability in the setting of Anosov diffeomorphisms on tori. More specifically, for an irreducible Anosov diffeomorphism with s...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Rigidity of non-compact static domains in hyperbolic space via positive mass theorems
正质量定理 双曲空间 非紧致 静域刚性
2023/4/14
We single out a notion of staticity which applies to any domain in hyperbolic space whose boundary is a non-compact totally umbilical hypersurface. For (time-symmetric) initial data sets modeled at in...
Local rigidity of discrete groups acting on complex hyperbolic space
complex hyperbolic space Local rigidity
2015/9/29
The superrigidity theorem of Margulis, see Zimmer [17], classifies finite dimen-sional representations of lattices in semi-simple Lie groups of real rank strictly
larger than 1. It is a fundamental ...
RIGIDITY OF STATIONARY BLACK HOLES WITH SMALL ANGULAR MOMENTUM ON THE HORIZON
RIGIDITY OF STATIONARY BLACK HOLES SMALL ANGULAR MOMENTUM THE HORIZON
2014/4/3
We prove a black hole rigidity result for slowly rotating stationary solutions of the Einstein vacuum equations. More precisely, we prove that the domain of outer communications of a regular stationar...
GEOMETRIC, TOPOLOGICAL AND DIFFERENTIABLE RIGIDITY OF SUBMANIFOLDS IN SPACE FORMS
GEOMETRIC TOPOLOGICAL DIFFERENTIABLE RIGIDITY SUBMANIFOLDS SPACE FORMS
2018/4/19
Let M be an n-dimensional submanifold in the simply connected space form Fn+p(c) with c + H2 > 0, where H is the mean curvature of M. We verify that if Mn(n ≥ 3) is an oriented compact submanifold wit...
Splitting of 3-Manifolds and Rigidity of Area-Minimising Surfaces
Rigidity of Area-Minimising Surfaces Splitting of 3-Manifolds Differential Geometry
2011/9/21
Abstract: In this paper we prove an area comparison result for certain totally geodesic surfaces in 3-manifolds with a lower bound on the scalar curvature. This result is a variant of a comparison the...
Bifurcation and local rigidity of homogeneous solutions to the Yamabe problem on spheres
homogeneous solutions Yamabe problem spheres Differential Geometry
2011/9/21
Abstract: We study existence and non existence of constant scalar curvature metrics conformal and arbitrarily close to homogeneous metrics on spheres, using variational techniques. This describes all ...
Rigidity of high dimensional graph manifolds
Quasi-isometry quasi-action graph of groups CAT(0) space Borel conjecture Baum-Connes conjecture
2011/9/1
Abstract: We define the class of high dimensional graph manifolds. These are compact smooth manifolds supporting a decomposition into finitely many pieces, each of which is diffeomorphic to the produc...
Poincare inequalities and rigidity for actions on Banach spaces
Poincare inequality Kazhdan’s property (T) affine isometric action
2011/8/31
Abstract: The aim of this paper is to extend the framework of the spectral method for proving property (T) to the class of reflexive Banach spaces and present conditions implying that every affine iso...
Rigidity of the topological dual of spaces of formal series with respect to product topologies
Topological fields topological duals product topology infinite matrices
2011/2/22
Even in spaces of formal power series is required a topology in order to legitimate some operations, in particular to compute infinite summations. Many topologies can be exploited for different purpos...
Influence of irregularity and rigidity on the propagation of torsional wave
Torsional waves heterogeneous half-space irregular boundary
2010/9/21
The paper is devoted to investigate the effect of presence of rigid boundary on the propagation of torsional surface wave in a homogeneous layer over a semi infinite heterogeneous half space with an i...
Rigidity and absence of line fields for meromorphic and Ahlfors islands maps
Holomorphic dynamics Rigidity Meromorphic functions
2011/2/25
In this note, we give an elementary proof of the absence of invariant line fields on the conical Julia set of an analytic function of one variable. This proof applies not only to rational as well as t...
Some old and new results about rigidity of critical metric
old new results rigidity of critical metric
2011/1/18
We present a new proof of a recent ǫ regularity of G. Tian and J.Viaclovsky.Moreover, our idea also also works with a kind of Lp, p < dimM/2 assumptions on the curvature.
Meromorphic Extendibility and Rigidity of Interpolation
Meromorphic Extendibility Rigidity of Interpolation
2010/11/24
Let T be the unit circle, f be an \alpha-Holder continuous function on T, \alpha>1/2, and A be the algebra of continuous function in the closed unit disk \bar D that are holomorphic in D. Then f exte...