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math.DG2022
From Dual Connections to Almost Contact Structures
E. Gnandi, S. Puechmorel
A dualistic structure on a smooth Riemaniann manifold is a triple with a Riemaniann metric and an affine connection, generally assumed to be torsion…
math.DG2020
Fisher-Rao geometry of Dirichlet distributions
Alice Le Brigant, Stephen Preston, Stéphane Puechmorel
In this paper, we study the geometry induced by the Fisher-Rao metric on the parameter space of Dirichlet distributions. We show that this space is geodesically complete and has ev…
math.DG2020★ 1 cited
Convergence of the Hesse-Koszul flow on compact Hessian manifolds
Stéphane Puechmorel, Tat Dat Tô
We study the long time behavior of the Hesse-Koszul flow on compact Hessian manifolds. When the first affine Chern class is negative, we prove that the flow converges to the unique…