Random k-Surfaces
Differential Geometry
2007-05-23 v1
Abstract
The main result is the construction of ergodic transversal measures of full support on the space of all k-surfaces of a compact hyperbolic 3-manifold. This space is a laminated space, each of its leaf being identified with a "complete" k-surface, i.e. a surface of constant (extrinsic) curvature k, where k belongs to ]0,1[. Elsewhere, this space has been shown to have chaotic properties mimicking those of the geodesic flow. This construction is achieved through a coding of the space.
Keywords
Cite
@article{arxiv.math/0009205,
title = {Random k-Surfaces},
author = {Francois Labourie},
journal= {arXiv preprint arXiv:math/0009205},
year = {2007}
}
Comments
6 figures