Minimal and Pseudo-Umbilical Rotational Surfaces in Euclidean Space E-4

Dursun U., Turgay N. C.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.10, no.1, pp.497-506, 2013 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 1
  • Publication Date: 2013
  • Doi Number: 10.1007/s00009-011-0167-z
  • Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.497-506
  • Istanbul Technical University Affiliated: Yes

Abstract

In this paper we study general rotational surfaces in E-4 whose meridian curves lie in two-dimensional planes. We firstly find all minimal general rotational surfaces by solving the differential equation that characterizes minimal general rotational surfaces. Then we determine all pseudo-umbilical general rotational surfaces in E-4.