期刊文献+

Bonnet Ruled Surfaces

Bonnet Ruled Surfaces
原文传递
导出
摘要 We consider the Bonnet ruled surfaces which admit only one non-trivial isometry that preserves the principal curvatures. We determine the Bonnet ruled surfaces whose generators and orthogonal trajectories form a special net called an A-net. We consider the Bonnet ruled surfaces which admit only one non-trivial isometry that preserves the principal curvatures. We determine the Bonnet ruled surfaces whose generators and orthogonal trajectories form a special net called an A-net.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2005年第3期623-630,共8页 数学学报(英文版)
关键词 Bonnet surface Associate surface ISOMETRY Ruled surface A-net Principal curvature Bonnet surface, Associate surface, Isometry, Ruled surface, A-net, Principal curvature
  • 相关文献

参考文献15

  • 1Bonnet, O.: Memoire sur la theorie des surfaces applicables sur une surface donee, JF Ecole Pol, Paris(1867), XLII Cahier, 72-92.
  • 2Cartan, E.: Sur la couples de surfaces applicables avec conservation des courbures principales. Bull. Soc.Math., 66, 55-85, (1942), or Oeuvres Completes, Ⅲ(2), 1591-1620.
  • 3Chern, S. S.: Deformation of surfaces preserving principal curvatures, differential geometry and complex analysis, H E Rauch Memorial Volume, Springer Verlag, 155-163, 1985.
  • 4Bobenko, A., I., Eitner, U.: Bonnet surfaces and Painlev6 equations, SFB 288 Preprint 151, TU Berlin,1994.
  • 5Bobenko, A. I., Either, V.: Painleve equations in differential geometry of surfaces, SFB 288 Preprint No 449, Berlin, 3-2000.
  • 6Roussos, I. M.: Global results on Bonnet surfaces. J. of Geometry, 65, 151-168 (1999).
  • 7Soyucok, Z.: The problem of non-trivial isometries of surfaces preserving principal curvatures. Journal of Geometry, 52, 173-188 (1995), Basel.
  • 8Roussos,Vi. M.: Tangential developable surfaces as Bonnet surfaces. Acta Mathematica Sinica, English Series, 15(2), 269-276 (1999).
  • 9Voss, K.: Bonnet surfaces in spaces of constant curvature, Japan: Lecture Notes Ⅱ of 1^st MSJ Research Institue, Sendai, 295- 307, 1993.
  • 10Chen, X., Peng, C. K.: Deformation of surfaces preserving principal curvatures, Lecture Notes in Math.1369, Springer Verlag (Differential Geometry and Topology Proceedings, Tianjin, 1986-1987), 63-70.

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