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NONSTANDARD LORENTZ SPACE FORMS     lorentz  Space form       2015/9/29
In their recent paper [8], Kulharni and Raymond show that a closed 3-manifold which admits a complete Lorentz metric of constant curvature 1 (henceforth called a complete Lorentz structure) must be ...
Using nonstandard analysis we define a topology on the ring of germs of functions: $(mathbb R^n,0)\rightarrow(mathbb R,0)$. We prove that this topology is absolutely convex, Hausdorff, that convergent...
Abstract: We present Nonstandard Analysis by three axioms: the {\em Extension, Transfer and Saturation Principles} in the framework of the superstructure of a given infinite set. We also present sever...
Abstract: Nonstandard parafermions are built and their central charges and dimensions are calculated. We then construct new N=2 superconformal field theories by tensoring the parafermions with a free ...
We analyze the quantum Bianchi I model in the setting of the nonstandard loop quantum cosmology. Elementary observables are used to quantize the volume operator. The spectrum of the volume operator i...
In this paper, we investigate the interior regularity including the local boundedness and the interior H\"{o}lder continuity of weak solutions for parabolic equations of the $p(x,t)$-Laplacian type. W...
2005Vol.43No.3pp.561-566DOI: Painlevé Nonstandard Truncation Expansion Solutions of Dynamics Equation of Diblock Copolymer QIAN Xian-Min,1,2 ZHU Yue-Jin,3 and HUANG Fu-Bin1 ...
Let \hat{Z} denote the inverse limit of finite cyclic groups and FgZ the group where F is a vector space over Q and + is defined by (a, x)+(b, y)=(a+b, x+y+g(a,b)) for some g: F\times F...

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