A NEW TYPE OF TUBULAR SURFAC EHAVING POINTWISE 1-TYPE GAUSS MAP IN EUCLIDEAN 4-SPACE E<SUP>4</SUP>


KİŞİ İ., Ozturk G.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, cilt.55, sa.4, ss.923-938, 2018 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 55 Sayı: 4
  • Basım Tarihi: 2018
  • Doi Numarası: 10.4134/jkms.j170535
  • Dergi Adı: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.923-938
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we handle the Gauss map of a tubular surface which is constructed according to the parallel transport frame of its spine curve. We show that there is no tubular surface having harmonic Gauss map. Moreover, we give a complete classification of this kind of tubular surface having pointwise 1-type Gauss map in Euclidean 4-space E-4.