Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space
Differential Geometry
2010-09-22 v1
Abstract
In this paper, we parametrize the space of isometric immersions of the hyperbolic plane into the hyperbolic 3-space in terms of null-causal curves in the space of oriented geodesics. Moreover, we characterize "ideal cones" (i.e., cones whose vertices are on the ideal boundary) by behavior of their mean curvature.
Keywords
Cite
@article{arxiv.1009.3994,
title = {Isometric Immersions of the Hyperbolic Plane into the Hyperbolic Space},
author = {Atsufumi Honda},
journal= {arXiv preprint arXiv:1009.3994},
year = {2010}
}
Comments
20 pages, 5 figures