Bour's theorem in Minkowski 3-space

Guler E., Vanli A.

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

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1215/kjm/1250281796
  • Dergi Adı: JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.47-63
  • Gazi Üniversitesi Adresli: Evet

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.