期刊文献+

R2^4中一类常曲率的伪迷向曲线

Pseudo Rull Curves with Constant Curvature in Semi-Euclidean Space
下载PDF
导出
摘要 Petrovic-Torgasev M.等[1]对半欧氏空间中常曲率的伪迷向曲线进行了分类。但是分类中并没有包含k1=1,k3=±1的常曲率伪迷向曲线。这类曲线在文中被确定,修正了他们的分类定理。 Petrovic -Torgasev M. , Ilarslan K. and Nesovic E. have classified pseudo null curves with constant curvatures in semi - Euclidean space R2^4 . But the pseudo null curves with constant curvatures k1 = 1 ,k3 = ± 1 are not included in the classification theorem. In the present paper these curves are confirmed and the new discovery has revised the original one.
机构地区 南昌大学数学系
出处 《南昌大学学报(理科版)》 CAS 北大核心 2007年第5期420-424,共5页 Journal of Nanchang University(Natural Science)
基金 国家自然科学基金资助项目(10671087) 江西省自然科学基金资助项目(0611080)
关键词 伪欧氏空间 伪迷向曲线 曲率 W-曲线 pseudo - Euclidean space pseudo null curve curvature W - curve
  • 相关文献

参考文献6

  • 1Petrovic - Torgasev M, Ilarslan K, Nesovic E. On Partially Null and Pseudo Null Curves in the Semi - euclidean Space[ J ]. J of Geom,2005,84 : 106 - 116.
  • 2Bonnor W B. Curves with Null Normals in Minkowski Space- time, A Random Walk in Relativity and Cosmology [ J ]. Wiley Easten Limited, 1985:33 - 47.
  • 3Walrave J. Curves and Surfaces in Minkowski Space[ M ]. Doctoral Thesis K U Leuven, Fac of Science, Leuven, 1995.
  • 4Petrovic - Torgasev M, Sucurovic E. W - curves in Minkowski Space - time[ J]. Novi Sad J Math,2002,32 : 55 - 65.
  • 5Synge J L. Timelike Helices in Flat Space - time[ J]. Proc Roy Irish Academy, 1967, A65:27 - 42.
  • 6O' Neil B. Semi - Riemannian Geometry [ M ]. Academic Press, 1983:58 - 122.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部