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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...
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 ...
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.
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 ...
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...
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...
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.
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.
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...
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 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...
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....
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...

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