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Spacelike Mobius Hypersurfaces in Four Dimensional Lorentzian Space Form被引量：5
《Acta Mathematica Sinica,English Series》2019年第4期519-536,共18页Yan Bin LIN Ying Lü Chang Ping WANG 
supported by NSFC(Grant Nos.11571287 and 11671330);supported by NSFC(Grant Nos.11331002 and 11471021)
In this paper, we first set up an alternative fundamental theory of M?bius geometry for any umbilic-free spacelike hypersurfaces in four dimensional Lorentzian space form, and prove the hypersurfaces can be determined...
关键词：Mobius form Mobius metric para-Blaschke tensor Mobius homogeneous hypersurface hyperbolic logarithmic spiral Dupin hypersurface 
Regular Space-like Hypersurfaces in S1^m+1 with Parallel Para-Blaschke Tensors被引量：6
《Acta Mathematica Sinica,English Series》2017年第10期1361-1381,共21页Xing Xiao LI Hong Ru SONG 
Supported by Foundation of Natural Sciences of China(Grant Nos.11671121,11171091 and 11371018)
In this paper, we give a complete conformal classification of the regular space-like hyper- surfaces in the de Sitter Space S~＋1 with parallel para-Blaschke tensors.
关键词：Conformal form parallel para-Blaschke tensor conformal metric conformal second fun-damental form constant scalar curvature constant mean curvature 
Schatten-p Class(0<p≤∞) Toeplitz Operators on Generalized Fock Spaces被引量：3
《Acta Mathematica Sinica,English Series》2015年第4期703-714,共12页Lian Hua XIAO Xiao Feng WANG Jin XIA 
supported by NSFC(Grant Nos.11301101,11271092 and 11471084);the Guangzhou Higher Education Science and Technology Project(Grant No.2012A018)
In this paper, we discuss the Schatten-p class （0 〈 p≤∞ ） of Toeplitz operators on generalized Foek space with the symbol in positive Borel measure. It makes a great difference from other papers by using the esti...
关键词：Schatten class generalized Fock space compact operator 
Hypersurfaces with Isotropic Para-Blaschke Tensor被引量：1
《Acta Mathematica Sinica,English Series》2014年第7期1195-1209,共15页Jian Bo FANG Kun ZHANG 
supported by National Natural Science Foundation of China(Grant No.10861013);Academic Talents of Chuxiong Normal University(Grant No.09YJRC10)
Let Mn be an n-dimensional submanifold without umbilical points in the （n ＋ 1）-dimen- sional unit sphere Sn＋l. Four basic invariants of Mn under the Moebius transformation group of Sn＋1 are a 1-form Ф called moe...
关键词：Moebius geometry para-Blaschke tensor ISOTROPIC 
Scattering for Focusing Combined Power-type NLS被引量：1
《Acta Mathematica Sinica,English Series》2014年第5期805-826,共22页Jian XIE 
Supported by National Natural Science Foundation of China(Grant Nos.11226184,11226065,11271322 and11271105)
We consider the scattering of Cauchy problem for the focusing combined power-type Schroodinger equation. In the spirit of concentration-compactness method, we will show that, H1 solution will scatter under some condit...
关键词：Nonlinear Schroodinger equation SCATTERING concentration-compactness method 
Boundary Reducible Handle Additions on Simple 3-Manifolds
《Acta Mathematica Sinica,English Series》2009年第2期235-244,共10页Yan Nan LI Rui Feng QIU Ming Xing ZHANG 
Supported by NSFC(10801021);NSFC(10625102);SRFDP(20050141011);SRFDP(20070141035)
Let M be a simple manifold, and F be a component of δM of genus two. For a slope γ on F, we denote by M（γ） the manifold obtained by attaching a 2-handle to M along a regular neighborhood of γon F. In this paper,...
关键词：δ-reducible Scharlemann cycle simple manifold 
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