7 citations · 10 across the 2 of their papers we have counts for
2 papers
math.DG2013★ 7 cited
Asymmetry in Hilbert's fourth problem
Juan-Carlos Alvarez Paiva
In the asymmetric setting, Hilbert's fourth problem asks to construct and study all (non-reversible) projective Finsler metrics: Finsler metrics defined on open, convex subsets of…
math.SG2004★ 3 cited
Dual mixed volumes and isosystolic inequalities
Juan Carlos Alvarez Paiva
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.