BOOST INVARIANT SURFACES WITH POINTWISE 1-TYPE GAUSS MAP IN MINKOWSKI 4-SPACE E-1(4)

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AKSOYAK F. K., YAYLI Y.

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, cilt.51, sa.6, ss.1863-1874, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 51 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.4134/bkms.2014.51.6.1863
  • Dergi Adı: BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1863-1874
  • Anahtar Kelimeler: rotation surface, Gauss map, pointwise 1-type Gauss map, marginally trapped surface, Minkowski space, EUCLIDEAN-SPACE E-4, ROTATION SURFACES, RULED SURFACES, FLAT SURFACES, CLASSIFICATION
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E-1(4). We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we obtain a characterization for boost invariant marginally trapped surface with pointwise 1-type Gauss map.