Morse Quasiflats II

Autor: Huang, Jingyin, Kleiner, Bruce, Stadler, Stephan
Rok vydání: 2020
Předmět:
Druh dokumentu: Working Paper
Popis: 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.
Comment: Add Section 6.4 compared to the last version. Revisions according's to the referee's comments. 3 figures and 48 pages
Databáze: arXiv