MERIDIAN SURFACES IN E-4 WITH POINTWISE 1-TYPE GAUSS MAP

ARSLAN K., BULCA B., Milousheva V.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.51, sa.3, ss.911-922, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 3
  • Basım Tarihi: 2014
  • Doi Numarası: 10.4134/bkms.2014.51.3.911
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.911-922
  • Anahtar Kelimeler: Meridian surfaces, Gauss map, finite type immersions, pointwise 1-type Gauss map, RULED SURFACES
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We show that a meridian surface has a harmonic Gauss map if and only if it is part of a plane. Further, we give necessary and sufficient conditions for a meridian surface to have pointwise 1-type Gauss map and find all meridian surfaces with pointwise 1-type Gauss map.