Rotational embeddings in E-4 with pointwise 1-type gauss map

ARSLAN K., Bayram B. K., BULCA B., Kim Y. H., MURATHAN C., Ozturk G.

TURKISH JOURNAL OF MATHEMATICS, cilt.35, sa.3, ss.493-499, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 35 Sayı: 3
  • Basım Tarihi: 2011
  • Doi Numarası: 10.3906/mat-0910-59
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.493-499
  • Anahtar Kelimeler: Rotation surface, gauss map, finite type, Pointwise 1-type, RULED SURFACES, SPACE
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present article we study the rotational embedded surfaces in E-4. The rotational embedded surface was first studied by G. Ganchev and V. Milousheva as a surface in E-4. The Otsuki (non-round) sphere in E-4 is one of the special examples of this surface. Finally, we give necessary and sufficient conditions for the flat Ganchev-Milousheva rotational surface to have pointwise 1-type Gauss map.