# 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. D.V. Anosov (originator),

*Encyclopedia of Mathematics.*URL: http://www.encyclopediaofmath.org/index.php?title=Nil_flow&oldid=17406

This text originally appeared in Encyclopedia of Mathematics - ISBN 1402006098