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三维Minkowski空间中非类光曲线的从切可展曲面的奇点分类 被引量:7

The rectifying developable of a nonlightlike space curve in Minkowski 3-space
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摘要 给出了曲线的法向距离函数概念,建立了由此函数诱导的奇点和曲线的几何不变量之间的联系,并且给出了三维Minkowski空间中非类光曲线的从切可展曲面的奇点分类. In this paper, the notation of normal distance function of a curve is defined. And the relationships is established between the singularities that induce from the normal distance function and geometric invariants of the curve, the singularties of rectifying evelopable is also gived in Minkowski 3-space.
作者 姜杨 裴东河
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2007年第1期22-27,共6页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(10471020 10271023) 教育部新世纪杰出人才项目(NCET05-0319)
关键词 法向距离函数 非类光曲线 从切可展曲面 normal distance function nonlightlike space curve rectifying developable
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参考文献7

  • 1BRUCE J W,GIBLIN P J.Curves and singularities(2nd.ed)[M].Cambridge:Univ Press,1992.
  • 2BRUCE J W.On singularities,envelopes and elementary differential geometry[J].Math Proc Cambridge philos soc,1981,89:43-48.
  • 3BRUCE J W,GIBLIN P J.Generic curves and surface[J].J London Math Soc,1981,24:555-561.
  • 4IZUMIYA,KATSUMI H,YAMASAKI T.The rectifying developable and the spherical darboux image of a space curve[J].Banach Center Publication,1999,50:137-149.
  • 5DONGHE PEI,TAKASHI SANO.The focal developable and binormal indicatrix of a nonlightlike curve in Minkowski 3-space[J].Tokyo J Math,2000.23:124-129.
  • 6裴东河,孙伟志,帕提古丽,张立新.三维Minkowski空间内的空间型曲线[J].东北师大学报(自然科学版),2004,36(3):1-9. 被引量:8
  • 7李武明,张庆成.四维双曲复空间与Lorentz群[J].东北师大学报(自然科学版),2005,37(2):15-17. 被引量:9

二级参考文献14

  • 1裴东河,孙伟志,帕提古丽,张立新.三维Minkowski空间内的空间型曲线[J].东北师大学报(自然科学版),2004,36(3):1-9. 被引量:8
  • 2[1]Bruce J W.On singularities,envelopes and elementary differential geometry[J].Math Proc Camb Phil Soc,1981,89:43~48.
  • 3[2]Bruce J W,Giblin P J.Generic curves and surfaces[J].J London Math Soc,1981,24:555~561.
  • 4[3]Bruce J W,Giblin P J.Generic Geometry[J].Amer Math Monthly,1983,90:529~545.
  • 5[4]Bruce J W,Giblin P J.Curves and singularities(second edition)[M].Cambridge:Cambridge University Press,1992.268~290.
  • 6[5]Izumiya S,Pei D-H,Sano T.The lightcone Gamss map and the lightcone developable of a spacelike curve in Minkowski 3-space[J].Glasgow Math J,2000,42:75~89.
  • 7[6]O'Neill B.Semi-Riemannian geometry[M].New York:Academic Press,1983.202~270.
  • 8[7]Porteous I.The normal singularities of submanifold[J].J Diff Geom,1971,5:543~564.
  • 9Baylis W E. Ciifford(geometric) algebra with applications to phsics, mathematics, and engineering[M]. Boston: Birkhauser, 1996.26 - 80.
  • 10Li Wuming.Hyperbolie ruler formula in the N- dimensional minkowski spaee[J]. Advances in Applied Clifford Algebra, 2002,12(1):7-11.

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