Dual mixed volumes and isosystolic inequalities

Details Dual mixed volumes and isosystolic inequalities Dual mixed volumes and isosystolic inequalities

2004-08-30

arxiv.org/abs/math/0408415v1

Mathematics

Symplectic Geometry

19 pages

Scientific paper

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.

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