Is it true that the only complete non-closed hypersurfaces of finite type in a Euclidean space are either minimal or of null 2-type?

A submanifold M in a Euclidean space  is said to be of finite type if its position vector field is a finite sum of (vectorial) eigenfunctions of the Laplace operator Δ of M.

12 December 2015 478 3 View