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GEOMETRIC, TOPOLOGICAL AND DIFFERENTIABLE RIGIDITY OF SUBMANIFOLDS IN SPACE FORMS
GEOMETRIC TOPOLOGICAL DIFFERENTIABLE RIGIDITY SUBMANIFOLDS SPACE FORMS
2012/6/13
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...
On character of points in the Higson corona of a metric space
Higson corona character of a point ultrafilter number dominating number
2012/6/4
We prove that for an unbounded metric space $X$, the minimal character $m\chi(\check X)$ of a point of the Higson corona $\check X$ of $X$ is equal to $\mathfrak u$ if $X$ has asymptotically isolated ...
A survey of quantum Teichmüller space and Kashaev algebra
shear coordinate quantum Teichmuller space Kashaev coordinates generalized Kashaev algebra
2011/7/25
Abstract: In this chapter, we survey the algebraic aspects of quantum Teichm\"uller space, generalized Kashaev algebra and a natural relationship between the two algebras.
Localising subcategories for cochains on the classifying space of a finite group
classifying space finite group Localising subcategories
2011/7/24
Abstract: The localising subcategories of the derived category of the cochains on the classifying space of a finite group are classified. They are in one to one correspondence with the subsets of the ...
On the Space of Symmetric Operators with Multiple Ground States
Symmetric Operators Multiple Ground States Algebraic Topology
2011/7/15
Abstract: We study homological structure of the filtrations of the space of self-adjoint operators by the multiplicity of the ground state. We consider only operators acting in a finite dimensional co...
Functor of continuation in Hilbert cube and Hilbert space
Hilbert cube Hilbert space Functor of continuation General Topology
2011/7/7
Abstract: A $Z$-set in a metric space $X$ is a closed subset $K$ of $X$ such that each map of the Hilbert cube $Q$ into $X$ can uniformly be approximated by maps of $Q$ into $X \setminus K$. The aim o...
One-cohomology and the uniqueness of the group measure space decomposition of a II_1 factor
One-cohomology uniqueness group measure space decomposition
2010/12/31
e provide a unified and self-contained treatment of several of the recent uniqueness theorems
for the group measure space decomposition of a II1 factor.
Cusp form motives in the cohomology of the space of stable maps to BG
motives cohomology of the space stable maps
2010/12/31
The moduli space M1,n(B(Z/mZ)2) of twisted stable maps into the stack B(Z/mZ)2 carries a natural Sn-action and so its cohomology may be decomposed into irreducible Sn-representations.
Non-existence of non-topological solitons in some types of gauge field theories in Minkowski space
Non-existence of non-topological solitons types of gauge field theories Minkowski space
2010/12/31
In this paper the conditions, under which non-topological solitons are absent in Yang-Mills theory coupled to a non-linear scalar field in Minkowski space, are obtained. It is also shown that non-topo...
A Note on the Paper $"$Poincaré Inequality on the Path Space of Poisson Point Processes"
Paper $"$Poincaré Inequality ath Space of Poisson Point Processes"
2010/9/1
In the recent paper [2] we proved a Poincar´e inequality on the path space of compound Poisson processes by using transition probabilities and the Markov property. Our purpose
is to develop a g...
Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space
Lowest Weight Representations Super Schrodinger One Dimensional Space
2010/9/1
Lowest weight modules, in particular, Verma modules over the N = 1, 2 super Schr¨odinger
algebras in (1+1) dimensional spacetime are investigated. The reducibility of the Verma
modules is analyzed v...
On the geometry of null curves in the minkowski 4-space
Null curves Minkowski space Transversal vector bundle
2007/11/27
In this paper, we study the basic results on the general study of null curves in the Minkowski 4-space R14. A transversal vector bundle of a null curve in R14 is constructed using a frenet Frame consi...
期刊信息
篇名
The space of limits of continua in the fell topology
语种
英文
撰写或编译
撰写
作者
杨忠强,Katsuro Sakai
第一作者单位
汕头大学数学系；Institute of Mathematics, University of Tsukuba
刊物名称
Houston Journal of Mathematics
页面
V...
期刊信息
篇名
Efficient and Unbiased Evaluation of Size and Topology of Space-Filling Grains
语种
英文
撰写或编译
撰写
作者
Liu Guoquan(刘国权),Yu Haibo,Li Wenqing
第一作者单位
北京科技大学
刊物名称
Acta Stereologica
页面
1994.06,Vol.13,NO....
Non-linear connections on phase space and the Lorentz force law
Non-linear connections phase space the Lorentz force law
2000/1/31
The equations of parallel transport for a non-linear connection on phase space are examined. It is shown that, for a free-particle Lagrangian, the connection term first-order in momentum reproduces th...