ON GENERALIZED ROTATIONAL SURFACES IN EUCLIDEAN SPACES

ARSLAN K., BULCA B., Kosova D.

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, vol.54, no.3, pp.999-1013, 2017 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 54 Issue: 3
  • Publication Date: 2017
  • Doi Number: 10.4134/jkms.j160330
  • Journal Name: JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.999-1013
  • Keywords: generalized tractrix, Gaussian curvature, rotational surface, Beltrami surface, E-4
  • Bursa Uludag University Affiliated: Yes

Abstract

In the present study we consider the generalized rotational surfaces in Euclidean spaces. Firstly, we consider generalized tractrices in Euclidean (n + 1)-space En+1. Further, we introduce some kind of generalized rotational surfaces in Euclidean spaces E-3 and E-4, respectively. We have also obtained some basic properties of generalized rotational surfaces in E-4 and some results of their curvatures. Finally, we give some examples of generalized Beltrami surfaces in E-3 and E-4, respectively.