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math.SG2011★ 4 cited
Contact geometry and isosystolic inequalities
Juan-Carlos Alvarez Paiva, Florent Balacheff
A long-standing open problem in systolic geometry asks whether a Riemannian metric on the real projective space whose volume equals that of the canonical metric, but is not isometr…
math.SG2010
Optimalité systolique infinitésimale de l'oscillateur harmonique
Juan-Carlos Álvarez Paiva, Florent Balacheff
We study the infinitesimal aspects of the following problem. Let H be a Hamiltonian of \R^{2n} whose energy surface {H=1} encloses a compact starshaped domain of volume equal to th…