Deformations of Non-Compact, Projective Manifolds
Geometric Topology
2014-11-26 v2
Abstract
In this paper, we demonstrate that the complete hyperbolic structure of various two-bridge knots and links cannot be deformed to an inequivalent strictly convex projective structure. We also prove a complementary result showing that under certain rigidity hypotheses, branched covers of amphicheiral knots admit non-trivial, strictly convex deformations near their complete hyperbolic structure.
Cite
@article{arxiv.1210.8419,
title = {Deformations of Non-Compact, Projective Manifolds},
author = {Samuel A. Ballas},
journal= {arXiv preprint arXiv:1210.8419},
year = {2014}
}
Comments
28 pages, 1 figure corrected typos, added references, incorporated referee suggestions, strengthened conclusion of main result and fixed small gap in its proof