论文摘要
空间形式上的曲面论,尤其是对某一特殊曲面的构造和分类是微分几何中的一个重要而有趣的课题.本文研究三维Lorentz空间中的共形曲面,主要通过对三维Lorentz空间形式R13、S13、H13的紧致化空间Q3中的曲面进行研究,采用活动标架法,导出这些曲面的基本方程及结构方程,最后用曲面的基本方程和结构方程对Q3中的迷向曲面和Ci（?）0的特殊曲面进行分类.从而得到两个重要的分类定理.全文的结构安排如下: §1.介绍三维Lorentz空间形式R13、S13、H13的紧致化空间Q3,并计算出Lorentz空间形式的共形群; §2.研究Q3中的共形曲面,主要得到曲面的基本方程和结构方程; §3.对Q3中的迷向曲面进行分类,得到本文的第一个重要分类定理; §4.对Q3中的特殊曲面即Ci（?）0的曲面进行分类,得到本文的第二个重要分类定理.
论文目录
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 Rssler-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)