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Can I read Curvatures and Hyperbolic Flows for Natural Mechanical Systems in Finsler Geometry on EtoBox?
Curvatures and Hyperbolic Flows for Natural Mechanical Systems in Finsler Geometry by Chengbo Li is a Mathematics article available to read on EtoBox.
What is Curvatures and Hyperbolic Flows for Natural Mechanical Systems in Finsler Geometry about?
We consider a natural mechanical system on a Finsler manifold and study its curvature using the intrinsic Jacobi equations (called Jacobi curves) along the extremals of the least action of the system. The curvature for such a system is expressed in terms of the Riemann curvature and the Chern curvature (involving the gradient of the potential) of the Finsler manifold and the Hessian of the potential w.r.t. a Riemannian metric induced from the Finsler metric. As an application, we give sufficient conditions for the Hamiltonian flows of the least action to be hyperbolic and show new examples of Anosov flows.
Who reads Curvatures and Hyperbolic Flows for Natural Mechanical Systems in Finsler Geometry?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Chengbo Li
- Publisher
- Springer Science and Business Media LLC
- Published
- 2021
- Language
- EN
- Field
- Mathematics (Physical Sciences)