Morse Quasiflats II
Metric Geometry
2023-04-28 v5 Differential Geometry
Group Theory
Geometric Topology
Abstract
This is the second in a two part series of papers concerning Morse quasiflats - higher dimensional analogs of Morse quasigeodesics. Our focus here is on their asymptotic structure. In metric spaces with convex geodesic bicombings, we prove asymptotic conicality, uniqueness of tangent cones at infinity and Euclidean volume growth rigidity for Morse quasiflats. Moreover, we provide some immediate consequences.
Cite
@article{arxiv.2003.08912,
title = {Morse Quasiflats II},
author = {Jingyin Huang and Bruce Kleiner and Stephan Stadler},
journal= {arXiv preprint arXiv:2003.08912},
year = {2023}
}
Comments
Add Section 6.4 compared to the last version. Revisions according's to the referee's comments. 3 figures and 48 pages