三维Lorentz空间中的脐点指标和定理

三维Lorentz空间中的脐点指标和定理

论文摘要

本文通过对三维Lorentz 空间R13、S13、H13中的全脐曲面进行分类,再将R13、S13、H13嵌入到它们的共形紧致化空间Q3.进一步对Q3中的全脐曲面进行分类,并研究这些曲面在嵌入映射下的对应关系,最后对Q3。中的孤立脐点的性质进行研究,得出Q3。中可定向正定闭曲面的脐点指标和定理.全文共分五节. 第一节为引言,第二节介绍R13、S13、H13的共形群,第三节介绍R13、S13、H13中的全脐曲面,第四节介绍Q3中的全脐曲面以及与R13、S13、H13中的全脐曲面的对应关系,第五节介绍Q3。中的脐点指标. 本文通过在Q3上做几何,找出其上的共形不变量以及不变性质,从而得到R13、S13、H13上的某些共形不变性质,而且通过对常曲率分别为0,1,-1的三维Lorentz空间形式R13、S13、H13的共形不变量和不变性质的研究,进而对对了解一般的三维常曲率.Lorentz空间中的某些性质.

论文目录

  • §1 引言
  • 13,S13,H13的共形群'>§2 R13,S13,H13的共形群
  • 13的共形群'>2.1 R13的共形群
  • 13,H13的共形群'>2.2 S13,H13的共形群
  • 13,S13,H13中的全脐曲面'>§3 R13,S13,H13中的全脐曲面
  • 13中的全脐曲面'>3.1 R13中的全脐曲面
  • 13,H13中的全脐曲面'>3.2 S13,H13中的全脐曲面
  • 3中的全脐曲面及其分类'>§4 Q3中的全脐曲面及其分类
  • 3中浸入曲面的脐点性质'>4.1 Q3中浸入曲面的脐点性质
  • 3中的全脐曲面及其分类'>4.2 Q3中的全脐曲面及其分类
  • §5 孤立脐点的指标和定理
  • 5.1 孤立脐点的指标
  • 5.2 孤立脐点的指标和定理
  • 参考文献
  • 中文详细摘要
  • 致谢
  • 相关论文文献

    • [1].Prospects on Testing Lorentz Invariance Violation with LHAASO Observations[J]. Bulletin of the Chinese Academy of Sciences 2019(03)
    • [2].Erd?s Type Inequality for Lorentz Polynomials[J]. Analysis in Theory and Applications 2018(03)
    • [3].Lorentz transmission electron microscopy for magnetic skyrmions imaging[J]. Chinese Physics B 2019(08)
    • [4].Krein space representation and Lorentz groups of analytic Hilbert modules[J]. Science China(Mathematics) 2018(04)
    • [5].Phase transition of magnetic skyrmion by Lorentz transmission electron microscopy[J]. 功能材料信息 2016(06)
    • [6].非交换加权Lorentz空间的对偶空间[J]. 数学学报(中文版) 2016(01)
    • [7].Global Existence,Uniqueness and Pathwise Property of Solutions to a Stochastic Rssler-Lorentz System[J]. Chinese Annals of Mathematics(Series B) 2015(01)
    • [8].Pseudospectral method for optimal propellantless rendezvous using geomagnetic Lorentz force[J]. Applied Mathematics and Mechanics(English Edition) 2015(05)
    • [9].非交换Lorentz空间的广义Hardy-Liitlewood极大函数(英文)[J]. 新疆大学学报(自然科学版) 2013(04)
    • [10].Investigation of Lorentz Force Velocimetry Using Electromagnets[J]. Journal of Iron and Steel Research(International) 2012(S1)
    • [11].Numerical Analysis on Lorentz Force Field in φ160 Billet Under Harmonic Magnetic Field[J]. Journal of Iron and Steel Research(International) 2012(S1)
    • [12].Lorentz Force Sigmometry[J]. Journal of Iron and Steel Research(International) 2012(S1)
    • [13].Numerical Analysis of Unsteady Natural Convection Flow and Heat Transfer in the Existence of Lorentz Force in Suddenly Expanded Cavity Using OpenFOAM[J]. Journal of Thermal Science 2020(06)
    • [14].Preliminary experimental study on applicability of Lorentz force velocimetry in an external magnetic field[J]. Nuclear Science and Techniques 2018(06)
    • [15].Lorentz Force Velocimetry for Poorly Conducting Fluids-Development and Validation of a Novel Flow Rate Measurement Device[J]. Journal of Iron and Steel Research(International) 2012(S2)
    • [16].Assembling and Test of a Halbach Array Magnet System for Lorentz Forece Velocimetry in Electrolytes[J]. Journal of Iron and Steel Research(International) 2012(S1)
    • [17].Lorentz Force Velocimetry for Local Velocity Measurement[J]. Journal of Iron and Steel Research(International) 2012(S1)
    • [18].Propagation of Lorentz–Gaussian Beams in Strongly Nonlocal Nonlinear Media[J]. Communications in Theoretical Physics 2014(02)
    • [19].Equilibria of a charged artificial satellite subject to gravitational and Lorentz torques[J]. Research in Astronomy and Astrophysics 2014(07)
    • [20].On the Lorentz factor of superluminal sources[J]. Research in Astronomy and Astrophysics 2013(05)
    • [21].Lorentz变换的四元数表示[J]. 安徽师范大学学报(自然科学版) 2013(03)
    • [22].Hardy-type inequalities on strong and weak Orlicz-Lorentz spaces[J]. Science China(Mathematics) 2012(12)
    • [23].GUS-property for Lorentz cone linear complementarity problems on Hilbert spaces[J]. Science China(Mathematics) 2011(06)
    • [24].Kurtosis parameters of super Lorentz-Gauss beams through a paraxial and real ABCD optical system[J]. Chinese Physics B 2011(11)
    • [25].Nonparaxial propagation of a super-Lorentz-Gauss SLGmode beam[J]. Chinese Physics B 2010(06)
    • [26].Lorentz violation constrained by triplicity of lepton families and neutrino oscillations[J]. 中国物理C 2009(06)
    • [27].Flow pattern and lift evolution of hydrofoil with control of electro-magnetic forces[J]. Science in China(Series G:Physics,Mechanics & Astronomy) 2009(09)
    • [28].关于二指标二维Lorentz空间的可赋范性[J]. 浙江教育学院学报 2009(03)
    • [29].Generalized elastic curves in the Lorentz flat space L~4[J]. Applied Mathematics and Mechanics(English Edition) 2009(09)
    • [30].Influences of Lorentz force on the hydrofoil lift[J]. Acta Mechanica Sinica 2009(05)

    标签:;  ;  ;  ;  

    三维Lorentz空间中的脐点指标和定理
    下载Doc文档

    猜你喜欢