Biharmonic curves into quadrics
Differential Geometry
2013-09-04 v1
Abstract
We develop an essentially algebraic method to study biharmonic curves into an implicit surface. Although our method is rather general, it is especially suitable to study curves into surfaces defined by a polynomial equation: in particular, we use it to give a complete classification of biharmonic curves into real quadrics of the 3-dimensional Euclidean space.
Cite
@article{arxiv.1309.0631,
title = {Biharmonic curves into quadrics},
author = {S. Montaldo and A. Ratto},
journal= {arXiv preprint arXiv:1309.0631},
year = {2013}
}
Comments
10 pages