Morse quasiflats II

Jingyin Huang, Bruce Kleiner, Stephan Stadler

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Article number109075
JournalAdvances in Mathematics
StatePublished - Jul 15 2023


  • Morse lemma
  • Quasi-isometric rigidity

ASJC Scopus subject areas

  • General Mathematics


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