Tensor product surfaces of a Euclidean space curve and a Euclidean plane curve


ARSLAN K., EZENTAŞ R., Mihai I., MURATHAN C., Özgür C.

Beitrage zur Algebra und Geometrie, vol.42, no.2, pp.523-530, 2001 (Scopus) identifier

  • Publication Type: Article / Article
  • Volume: 42 Issue: 2
  • Publication Date: 2001
  • Journal Name: Beitrage zur Algebra und Geometrie
  • Journal Indexes: Scopus
  • Page Numbers: pp.523-530
  • Bursa Uludag University Affiliated: Yes

Abstract

B.Y. Chen initiated the study of the tensor product immersion of two immersions of a given Riemannian manifold (see [3]). Inspired by Chen's definition, F. Decruyenaere, F. Dillen, L. Verstraelen and L. Vrancken (in [4]) studied the tensor product of two immersions of, in general, different manifolds; under certain conditions, this realizes an immersion of the product manifold. In [6] tensor product surfaces of Euclidean plane curves were investigated. In the present paper, we deal with tensor product surfaces of a Euclidean space curve and a Euclidean plane curve. We classify the minimal, totally real and slant such surfaces, respectively. © 2001 Heldermann Verlag.