Sectional Lyapunov exponents

We define sectional Lyapunov exponents and use them to characterize sectional Anosov flows in terms of dominated splittings. In particular we improve a result of Sataev.

Saved in:
Bibliographic Details
Published in:Proceedings of the American Mathematical Society 2010-09, Vol.138 (9), p.3171-3178
Main Author: ARBIETO, ALEXANDER
Format: Article
Language:English
Subjects:
Continuous functions
Dynamical systems
Exact sciences and technology
General mathematics
General, history and biography
Mathematical analysis
Mathematical functions
Mathematical manifolds
Mathematical theorems
Mathematics
Ordinary differential equations
Riemann manifold
Sciences and techniques of general use
Vector fields
Citations: Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We define sectional Lyapunov exponents and use them to characterize sectional Anosov flows in terms of dominated splittings. In particular we improve a result of Sataev.
ISSN:0002-9939
1088-6826
DOI:10.1090/S0002-9939-10-10410-9