FLAT ROTATIONAL SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN E-4

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AKSOYAK F. K., YAYLI Y.

HONAM MATHEMATICAL JOURNAL, cilt.38, sa.2, ss.305-316, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 2
  • Basım Tarihi: 2016
  • Doi Numarası: 10.5831/hmj.2016.38.2.305
  • Dergi Adı: HONAM MATHEMATICAL JOURNAL
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.305-316
  • Anahtar Kelimeler: Rotation surface, Gauss map, Pointwise 1-type Gauss map, Euclidean space, TENSOR PRODUCT SURFACES, EUCLIDEAN-SPACE E-4
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper we study general rotational surfaces in the 4-dimensional Euclidean space II and give a characterization of flat general rotational surface with pointwise 1-type Gauss map. Also, we show that a flat general rotational surface with pointwise 1-type Gauss map is a Lie group if and only if it is a Clifford torus.