Morse quasiflats I-Reference-Cited by-同舟云学术

Morse quasiflats I

Published:2022-01-06 Issue:784 Volume:2022 Page:53-129
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Huang Jingyin¹^ORCID,Kleiner Bruce²,Stadler Stephan³

Affiliation:

1. Department of Mathematics , The Ohio State University , 231 W. 18th Ave. , Columbus , OH 43210 , USA

2. Department of Mathematics , Courant Institute of Mathematical Sciences , 251 Mercer St. , New York , NY 10012 , USA

3. Max Planck Institute for Mathematics , Vivatsgasse 7, 53111 Bonn , Germany

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2021-0073/pdf

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