Cédric Oms

activity

20172023

most citedExistence and classification of

b

-contact structures

2 citations · 4 across the 7 of their papers we have counts for

collaborators

Showing 2022Show all

3 papers · 1 filter

math.SG2022

The Arnold conjecture for singular symplectic manifolds

Joaquim Brugués, Eva Miranda, Cédric Oms

In this article, we study the Hamiltonian dynamics on singular symplectic manifolds and prove the Arnold conjecture for a large class of $b^{m}$ -symplectic manifolds. Novel technique…

math.SG2022★ 2 cited

Existence and classification of $b$ -contact structures

Robert Cardona, Cédric Oms

A $b$ -contact structure on a $b$ -manifold $(M, Z)$ is a Jacobi structure on $M$ satisfying a transversality condition along the hypersurface $Z$ . We show that, in three dimensions,…

math.SG2022

Morse functions and contact convex surfaces

Robert Cardona, Cédric Oms

Let $f$ be a Morse function on a closed surface $Σ$ such that zero is a regular value and such that $f$ admits neither positive minima nor negative maxima. In this expository note,…

The Arnold conjecture for singular symplectic manifolds

Existence and classification of b-contact structures

Morse functions and contact convex surfaces

Existence and classification of $b$ -contact structures