On pointwise 1-type gauss map of surfaces in 𝔼3 1 concerning cheng-yau operator

Young Ho Kim, Nurettin Cenk Turgay

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3 Citations (Scopus)

Abstract

In this paper, we study surfaces in 3-dimensional Minkowski space in terms of certain type of their Gauss map. We give several results on these surfaces whose Gauss map G satisfies □G = f(G + C) for a smooth function f and a constant vector C, where □ denotes the Cheng-Yau operator. In particular, we obtain classification theorems on the rotational surfaces in 𝔼3 1 with space-like axis of rotation in terms of type of their Gauss map concerning the Cheng-Yau operator.

Original languageEnglish
Pages (from-to)381-397
Number of pages17
JournalJournal of the Korean Mathematical Society
Volume54
Issue number2
DOIs
Publication statusPublished - 2017

Bibliographical note

Publisher Copyright:
© 2017 Korean Mathematical Society.

Keywords

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

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