Morse quasiflats II

Jingyin Huang; Bruce Kleiner; Stephan Stadler

doi:10.1016/j.aim.2023.109075

Morse quasiflats II

Jingyin Huang, Bruce Kleiner, Stephan Stadler

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Article number	109075
Journal	Advances in Mathematics
Volume	425
DOIs	https://doi.org/10.1016/j.aim.2023.109075
State	Published - Jul 15 2023

Keywords

Morse lemma
Quasi-isometric rigidity

ASJC Scopus subject areas

General Mathematics

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10.1016/j.aim.2023.109075

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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.",

keywords = "Morse lemma, Quasi-isometric rigidity",

author = "Jingyin Huang and Bruce Kleiner and Stephan Stadler",

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AU - Stadler, Stephan

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AB - 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.

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KW - Quasi-isometric rigidity

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Morse quasiflats II

Abstract

Keywords

ASJC Scopus subject areas

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