Morse quasiflats I
2022 ◽
Vol 0
(0)
◽
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.
Keyword(s):
Keyword(s):
2014 ◽
Vol 50
(3)
◽
pp. 261-285
◽
Keyword(s):
Keyword(s):