Coordinate Finite Type Rotational Surfaces in Euclidean Spaces

Abstract

Submanifolds of coordinate finite-type were introduced in HV1. A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of . In the present study we consider coordinate finite-type surfaces in E4. We give necessary and sufficient conditions for generalized rotation surfaces in E4 to become coordinate finite-type. We also give some special examples.

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