Butler, Leo T. and Gelfreich, Vassili. (2008) Positive-entropy geodesic flows on nilmanifolds. Nonlinearity, Vol.21 (No.7). pp. 1423-1434. ISSN 0951-7715

Full text not available from this repository.

Abstract

Let T-n be the nilpotent group of real n x n upper-triangular matrices with 1s on the diagonal. The Hamiltonian flow of a left-invariant Hamiltonian on T*T-n naturally reduces to the Euler flow on t(n)*, the dual of t(n) = Lie(T-n). This paper shows that the Euler flows of the standard Riemannian and sub-Riemannian structures of T-4 have transverse homoclinic points on all regular coadjoint orbits. As a corollary, left-invariant Riemannian metrics with positive topological entropy are constructed on all quotients D\T-n where D is a discrete subgroup of T-n and n >= 4.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QC Physics
Divisions:	Faculty of Science > Mathematics
Journal or Publication Title:	Nonlinearity
Publisher:	Institute of Physics Publishing Ltd.
ISSN:	0951-7715
Date:	July 2008
Volume:	Vol.21
Number:	No.7
Number of Pages:	12
Page Range:	pp. 1423-1434
Identification Number:	10.1088/0951-7715/21/7/002
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
URI:	http://wrap.warwick.ac.uk/id/eprint/29743

Data sourced from Thomson Reuters' Web of Knowledge

Request changes to a record

Actions (login required)

View Item