Stephane Geudens

activity

20242026

collaborators

4 papers

math.DG2026

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.DG2026

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.SG2025

Simultaneous Deformations of Symplectic Forms and Lagrangian Submanifolds

Stephane Geudens, Florian Schaetz, Alfonso G. Tortorella

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

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 $(M, I^¾)$ . Our main result states that $C$ is rigid among nearby coisotropic…