55 citations · 76 across the 15 of their papers we have counts for
4 papers · 1 filter
Deformation of affine structures and the cohomology of Koszul-Vinberg algebras on the lie groups SO(2), H3(R) and Galilei group SGal(3)
Prosper R. Mama Assandje, R. Nimpa Pefoukeu, Michel B. Djiadeu Ngaha +2
In this work, we compare the De Rham cohomology and the Koszul-Vinberg cohomology groups on the Lie groups SO(2), H3(R) and SGal(3). We model their interactions by constructing a t…
Optimal matching between curves in a manifold
Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
This paper is concerned with the computation of an optimal matching between two manifold-valued curves. Curves are seen as elements of an infinite-dimensional manifold and compared…
Reparameterization invariant metric on the space of curves
Alice Le Brigant, Marc Arnaudon, Frédéric Barbaresco
This paper focuses on the study of open curves in a manifold M, and proposes a reparameterization invariant metric on the space of such paths. We use the square root velocity funct…
Medians and means in Riemannian geometry: existence, uniqueness and computation
Marc Arnaudon, Frédéric Barbaresco, Le Yang
This paper is a short summary of our recent work on the medians and means of probability measures in Riemannian manifolds. Firstly, the existence and uniqueness results of local me…