Geodesics on an invariant surface
Differential Geometry
2009-12-03 v1
Abstract
We study the geodesics on an invariant surface of a three dimensional Riemannian manifold. The main results are: the characterization of geodesic orbits; a Clairaut's relation and its geometric interpretation in some remarkable three dimensional spaces; the local description of the geodesics; the explicit description of geodesic curves on an invariant surface with constant Gauss curvature.
Cite
@article{arxiv.0912.0468,
title = {Geodesics on an invariant surface},
author = {Stefano Montaldo and Irene I. Onnis},
journal= {arXiv preprint arXiv:0912.0468},
year = {2009}
}
Comments
14 pages, 1 figure