13 citations · 42 across the 10 of their papers we have counts for
6 papers · 2 filters
Generalization of Hasimoto's transformation
Mathieu Molitor
In this paper, we generalize the famous Hasimoto's transformation by showing that the dynamics of a closed unidimensional vortex filament embedded in a three-dimensional manifold o…
The group of unimodular automorphisms of a principal bundle and the Euler-Yang-Mills equations
Mathieu Molitor
Given a principal bundle G \rightarrow P \rightarrow B (each being compact, connected and oriented) and a G-invariant metric h^{P} on P which induces a volume form μ^{P}, we consid…
Remarks on the space of volume preserving embeddings
Mathieu Molitor
Let (N,g) be a Riemannian manifold. For a compact, connected and oriented submanifold M of N. we define the space of volume preserving embeddings Emb_μ(M,N) as the set of smooth em…
Information geometry and the hydrodynamical formulation of quantum mechanics
Mathieu Molitor
Let (M,g) be a compact, connected and oriented Riemannian manifold. We denote D the space of smooth probability density functions on M. In this paper, we show that the Frechet mani…
Exponential families, Kahler geometry and quantum mechanics
Mathieu Molitor
Exponential families are a particular class of statistical manifolds which are particularly important in statistical inference, and which appear very frequently in statistics. For…
Remarks on the statistical origin of the geometrical formulation of quantum mechanics
Mathieu Molitor
A quantum system can be entirely described by the Kähler structure of the projective space P(H) associated to the Hilbert space H of possible states; this is the so-called geometri…