Partially hyperbolic \(\Sigma\)-geodesic flows (Q5929071)
From MaRDI portal
scientific article; zbMATH DE number 1588081
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partially hyperbolic \(\Sigma\)-geodesic flows |
scientific article; zbMATH DE number 1588081 |
Statements
Partially hyperbolic \(\Sigma\)-geodesic flows (English)
0 references
28 January 2002
0 references
The paper deals with smooth partially hyperbolic flows generalizing properties of hyperbolic or Anosov flows. A class of partially hyperbolic flows induced by \(\Sigma\)-geodesic flows corresponding to mechanical systems with constraints is constructed. Suitable conditions properly decouple its variational equation and imply the hyperbolic properties of the trajectories. The cases of a general Lie group and of a semisimple Lie group are analyzed.
0 references
partially hyperbolic flows
0 references
\(\Sigma\)-geodesic flows
0 references
Anosov flows
0 references
semisimple Lie groups
0 references
