Surfaces in E3 with L1-pointwise 1-type Gauss map

Young Ho Kim, Nurettin Cenk Turgay

Research output: Contribution to journalArticlepeer-review

25 Citations (Scopus)

Abstract

In this paper, we study surfaces in E3 whose Gauss map G satisfies the equation □ G = f(G + C) for a smooth function f and a constant vector C, where □ stands for the Cheng-Yau operator. We focus on surfaces with constant Gaussian curvature, constant mean curvature and constant principal curvature with such a property. We obtain some classification and characterization theorems for these kinds of surfaces. Finally, we give a characterization of surfaces whose Gauss map G satisfies the equation □G = λ(G + C) for a constant λ and a constant vector C.

Original languageEnglish
Pages (from-to)935-949
Number of pages15
JournalBulletin of the Korean Mathematical Society
Volume50
Issue number3
DOIs
Publication statusPublished - 2013

Keywords

  • □-pointwise 1-type
  • Cheng-Yau operator
  • Gauss map

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