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In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields.
A rotating super uid such as a Bose-Einstein condensate is usually described by the Gross- Pitaevskii (GP) model. An important issue is to determine from this model the properties of the quantized v...
In this work we investigate solvable and nilpotent Lie groups with special metrics. The metrics of interest are left-invariant Einstein and algebraic Ricci soliton metrics. Our main result shows that ...
We analyze a class of multicomponent nonlinear Schrodinger equations (MNLS) related to the symmetric BD.I-type symmetric spaces and their reductions. We briefly outline the direct and the inverse scat...
We analyze the properties of the soliton solutions of a class of models describing one-dimensional BEC with spin F. We describe the minimal sets of scattering data which determine uniquely both the co...
关于Kahler-Einstein流形的一点注记          2007/12/11
Siu和Yang在[1]中给出了一个紧致Kahler-Einstein曲面双全纯等距同构于复2维球的商流形的一个曲率条件,本文改进了这一条件.
期刊信息 篇名 Nonlinear dynamics of a dipolar Bose-Einstein condensate in optical lattice, 语种 英文 撰写或编译 作者 Z.W. Xie,Z.X. Cao,E.I. Kats,W.M. Liu 第一作者单位 刊物名称 Phys. Rev. A 页面 71, 025601 (2005). 出版日期 2005年 月 日 文...
All local solutions of the two dimensional Einstein-Weyl equations are found, and related to the compact examples which I obtained in "Moebius structures and two dimensional Einstein-Weyl geometry" J...
It is proved that the only geodesically complete stationary vacuum solution of the Einstein equations is the empty Minkowski space, or a quotient of it by a discrete group of isometries, generalizing ...
A complete characterization is obtained of the asymptotic behavior of solutions of the static vacuum Einstein equations which have a (pseudo)-compact horizon or boundary and are complete away from th...

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