Nil flow
From Encyclopedia of Mathematics
A flow on a nil manifold defined by the action on
of some one-parameter subgroup
of a nilpotent Lie group
: If
consists of the cosets
, then under the action of the nil flow such a coset at time
goes over in
.
References
[1] | L. Auslander, L. Green, F. Hahn, "Flows on homogeneous spaces" , Princeton Univ. Press (1963) |
Comments
The first example of a compact minimal flow that is distal but not equicontinuous was a nil flow (cf. Distal dynamical system; Equicontinuity).
How to Cite This Entry:
Nil flow. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Nil_flow&oldid=47972
Nil flow. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Nil_flow&oldid=47972
This article was adapted from an original article by D.V. Anosov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article