Limits of Blaschke metrics
Differential Geometry
2021-06-04 v2 Geometric Topology
Abstract
We find a compactification of the -Hitchin component by studying the degeneration of the Blaschke metrics on the associated equivariant affine spheres. In the process, we establish the closure in the space of projectivized geodesic currents of the space of flat metrics induced by holomorphic cubic differentials on a Riemann surface.
Cite
@article{arxiv.1911.02119,
title = {Limits of Blaschke metrics},
author = {Charles Ouyang and Andrea Tamburelli},
journal= {arXiv preprint arXiv:1911.02119},
year = {2021}
}
Comments
35 pages, 3 figures, referee's suggestions added. To appear in Duke Math. J