Bour's theorem in Minkowski 3-space


Guler E., Vanli A. T.

JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY, cilt.46, sa.1, ss.47-63, 2006 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 46 Konu: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1215/kjm/1250281796
  • Dergi Adı: JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
  • Sayfa Sayıları: ss.47-63

Özet

In this study, we show that a generalized helicoid with null axis is isometric to a rotation surface with null axis so that helices on the helicoid correspond to parallel circles on the rotation surface in three dimensional Minkowski space. Moreover, We obtained that these surfaces are minimal. An addition, if these surfaces have the same Gauss map, we can determine them.