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Dual mixed volumes and isosystolic inequalities

Juan Carlos Alvarez Paiva
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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.

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Juan Carlos Alvarez Paiva. 2004-08-30. Dual mixed volumes and isosystolic inequalities. https://arxiv.org/abs/math/0408415

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