On Surfaces of finite Chen-type

Abstract

We investigate some relations concerning the first and the second Beltrami operators corresponding to the fundamental forms I, II, III of a surface in the three-dimensional Euclidean space and we study surfaces which are of finite type in the sense of B.-Y. Chen with respect to the fundamental forms II and III.

13 pages

Cited by in corpus (6)

• Tubes of coordinate finite type Gauss map in the Euclidean 3-space
• Anchor rings of finite type Gauss map in the Euclidean 3-space
• Surfaces of coordinate finite II-type
• Surfaces of revolution of finite III-type
• Tubes of finite $II$-type Gauss map
• Tubes of finite Chen-type