The degeneration of convex RP^2 structures on surfaces
Geometric Topology
2017-05-17 v2
Abstract
Let M be a compact surface of negative Euler characteristic and let C(M) be the deformation space of convex real projective structures on M. For every choice of pants decomposition for M, there is a well known parameterization of C(M) known as the Goldman parameterization. In this paper, we study how some geometric properties of the real projective structure on M degenerates as we deform it so that the internal parameters of the Goldman parameterization leave every compact set while the boundary invariants remain bounded away from zero and infinity.
Keywords
Cite
@article{arxiv.1312.2452,
title = {The degeneration of convex RP^2 structures on surfaces},
author = {Tengren Zhang},
journal= {arXiv preprint arXiv:1312.2452},
year = {2017}
}
Comments
47 pages, 17 figures, Accepted for publication at PLMS