Coordinate Finite Type Rotational Surfaces in Euclidean Spaces
Differential Geometry
2013-05-16 v2
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 {\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.
Keywords
Cite
@article{arxiv.1305.3160,
title = {Coordinate Finite Type Rotational Surfaces in Euclidean Spaces},
author = {B. K. Bayram and K. Arslan and N. Onen and B. Bulca},
journal= {arXiv preprint arXiv:1305.3160},
year = {2013}
}
Comments
12 pages