Coordinate Finite Type Rotational Surfaces in Euclidean Spaces

Bengü (Kılıç) Bayram, Kadri Arslan, Nergiz Önen, Betül Bulca

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 $\Bbb E^4$. We give necessary and sufficient conditions for generalized rotation surfaces in $\Bbb E^4$ to become coordinate finite-type. We also give some special examples.