Isometric Surfaces and the Third Laplace-Beltrami
Differential Geometry
2016-11-21 v2
Abstract
In this paper, classical isometric helicoidal and rotational surfaces are studied, and generalized by Bour's theorem in three dimensional Euclidean space. Moreover, the third Laplace-Beltrami operators of two classical surfaces are obtained.
Keywords
Cite
@article{arxiv.1304.7655,
title = {Isometric Surfaces and the Third Laplace-Beltrami},
author = {Erhan Güler and Yusuf Yaylı},
journal= {arXiv preprint arXiv:1304.7655},
year = {2016}
}
Comments
7 pages, 2 figures This paper has been withdrawn by the author due to a crucial error in some equations