ON SPECIAL DEVELOPABLE RULED SURFACES WITH POINTWISE 1-TYPE GAUSS MAP

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KAYA O., Onder M.

Miskolc Mathematical Notes, cilt.22, sa.2, ss.709-720, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22 Sayı: 2
  • Basım Tarihi: 2021
  • Doi Numarası: 10.18514/mmn.2021.3478
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.709-720
  • Anahtar Kelimeler: ruled surface, Laplacian, Gauss map, minimal surface
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

In this paper, some special developable ruled surfaces with point-wise Gauss map are studied. Three different special developable ruled surfaces called rectifying ruled surface, generalized normal ruled surface and osculating type ruled surface are considered. The conditions for such surfaces to have 1-type Gauss map and also to be minimal are introduced. Finally, some examples are given for the obtained results