English

Dual mixed volumes and isosystolic inequalities

Symplectic Geometry 2007-05-23 v1 Metric Geometry

Abstract

The theory of dual mixed volumes is extended to star bodies in cotangent bundles and is used to prove several isosystolic inequalities for Hamiltonian systems and Finsler metrics.

Keywords

Cite

@article{arxiv.math/0408415,
  title  = {Dual mixed volumes and isosystolic inequalities},
  author = {Juan Carlos Alvarez Paiva},
  journal= {arXiv preprint arXiv:math/0408415},
  year   = {2007}
}

Comments

19 pages