Stephane Geudens

activity

20192025

collaborators

5 papers

math.SG2025

Simultaneous Deformations of Symplectic Forms and Lagrangian Submanifolds

Stephane Geudens, Florian Schaetz, Alfonso G. Tortorella

Given a compact symplectic manifold $(M, ω)$ and a compact Lagrangian submanifold $L \subset (M, ω)$ , we describe small deformations of the pair $(ω, L)$ modulo the action by isotopies.…

math.DG2024

Infinitesimally rigid Lie foliations with dense leaves

Stephane Geudens, Florian Zeiser

We call a foliation $F$ on a compact manifold infinitesimally rigid if its deformation cohomology $H^{1} (F, N F)$ vanishes. This paper studies infinites…

math.DG2024

Morse-Novikov cohomology and rigidity of Lie affine foliations

Stephane Geudens

In previous work by El Kacimi Alaoui-Guasp-Nicolau, a cohomological criterion is given for a Lie $g$ -foliation on a compact manifold to be rigid among nearby Lie foliati…

math.SG2024

A rigidity result for coisotropic submanifolds in contact geometry

Stephane Geudens, Alfonso G. Tortorella

We study coisotropic deformations of a compact regular coisotropic submanifold $C$ in a contact manifold $(M, ξ)$ . Our main result states that $C$ is rigid among nearby coisotropic…

math.SG2019

Coisotropic submanifolds in $b$ -symplectic geometry

Stephane Geudens, Marco Zambon

We study coisotropic submanifolds of $b$ -symplectic manifolds. We prove that $b$ -coisotropic submanifolds (those transverse to the degeneracy locus) determine the $b$ -symplectic st…

Simultaneous Deformations of Symplectic Forms and Lagrangian Submanifolds

Infinitesimally rigid Lie foliations with dense leaves

Morse-Novikov cohomology and rigidity of Lie affine foliations

A rigidity result for coisotropic submanifolds in contact geometry

Coisotropic submanifolds in b-symplectic geometry

Coisotropic submanifolds in $b$ -symplectic geometry