On the Ruled Surfaces with L-1-Pointwise 1-Type Gauss Map


Kim Y. H. , Turgay N. C.

KYUNGPOOK MATHEMATICAL JOURNAL, cilt.57, sa.1, ss.133-144, 2017 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 57 Konu: 1
  • Basım Tarihi: 2017
  • Doi Numarası: 10.5666/kmj.2017.57.1.133
  • Dergi Adı: KYUNGPOOK MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.133-144

Özet

In this paper, we study ruled surfaces in 3-dimensional Euclidean and Minkowski space in terms of their Gauss map. We obtain classification theorems for these type of surfaces whose Gauss map G satisfying square G = f(G+C) for a constant vector C is an element of E-3 and a smooth function f, where square denotes the Cheng-Yau operator.