Surfaces Given with the Monge Patch in E-4

Bulca B., Arslan K.

JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY, cilt.9, sa.4, ss.435-447, 2013 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 4
  • Basım Tarihi: 2013
  • Dergi Adı: JOURNAL OF MATHEMATICAL PHYSICS ANALYSIS GEOMETRY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.435-447
  • Anahtar Kelimeler: Monge patch, translation surface, Chen surface
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present paper we consider the surfaces in the Euclidean 4-space E-4 given with a Monge patch z = f (u, v), w = g(u, v) and study the curvature properties of these surfaces. We also give some special examples of these surfaces first defined by Yu. Aminov. Finally, we prove that every Aminov surface is a non-trivial Chen surface.