Coordinate finite type rotational surfaces in euclidean spaces

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.