General rotational surfaces in euclidean space E 4 with pointwise 1-type gauss map

Uǧur Dursun*, Nurretin Cenk Turgay

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

In this paper, we study general rotational surfaces in E 4 with pointwise 1-type Gauss map. We consider general rotational surfaces in E4 whose meridian curves lie in two-dimensional planes. We firstly obtain all general rotational surfaces in E 4 with proper pointwise 1-type Gauss map of the first kind. Then we classify minimal rotational surfaces of E 4 with proper pointwise 1-type Gauss map of the second kind.

Original languageEnglish
Pages (from-to)71-81
Number of pages11
JournalMathematical Communications
Volume17
Issue number1
Publication statusPublished - 2012

Keywords

  • Gauss map
  • Mean curvature
  • Minimal surface
  • Normal bundle
  • Point- wise 1-type
  • Rotational surfaces

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