Coordinate Finite Type Rotational Surfaces in Euclidean Spaces

Bayram B. (., ARSLAN K., Onen N., BULCA B.

FILOMAT, vol.28, no.10, pp.2131-2140, 2014 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 10
  • Publication Date: 2014
  • Doi Number: 10.2298/fil1410131b
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.2131-2140
  • Bursa Uludag University Affiliated: Yes

Abstract

Submanifolds of coordinate finite-type were introduced in [10]. A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of Delta. In the present study we consider coordinate finite-type surfaces in E-4. We give necessary and sufficient conditions for generalized rotation surfaces in E-4 to become coordinate finite-type. We also give some special examples.