Morse Quasiflats I
| Autor: | Jingyin Huang, Bruce Kleiner, Stephan Stadler |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Mathematics - Differential Geometry
Applied Mathematics General Mathematics 010102 general mathematics Metric Geometry (math.MG) Geometric Topology (math.GT) Group Theory (math.GR) 01 natural sciences Mathematics - Geometric Topology Differential Geometry (math.DG) Mathematics - Metric Geometry 0103 physical sciences FOS: Mathematics 010307 mathematical physics 0101 mathematics Mathematics - Group Theory |
| Zdroj: | Journal für die reine und angewandte Mathematik |
| Popis: | This is the first in a series of papers concerned with Morse quasiflats, which are a generalization of Morse quasigeodesics to arbitrary dimension. In this paper we introduce a number of alternative definitions, and under appropriate assumptions on the ambient space we show that they are equivalent and quasi-isometry invariant; we also give a variety of examples. The second paper proves that Morse quasiflats are asymptotically conical and have canonically defined Tits boundaries; it also gives some first applications. Version 1 of this posting, which was called "Morse quasiflats", has been split into two parts -- "Morse quasiflats I", which is Version 2 of this posting, and "Morse quasiflats II", which is posted as arXiv:2003.08912. We add several new results and rewrite several places to improve readability. v3: minor corrections. v4: many modifications in light of the referee's comments, accepted version |
| Databáze: | OpenAIRE |
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