A Morse estimate for translated points of contactomorphisms of spheres and projective spaces

Sheila Sandon (1)

1 LMJL - Laboratoire de Mathématiques Jean Leray

A point q in a contact manifold (M, ξ) is called a translated point for a contacto-morphism φ with respect to some fixed contact form if φ(q) and q belong to the same Reeb orbit and the contact form is preserved at q. In this article we discuss a version of the Arnold conjecture for translated points of contactomorphisms and, using generating functions techniques, we prove it in the case of spheres (under a genericity assumption) and projective spaces.

Mots clés: translated points of contactomorphisms; generating functions

Domaines: Mathématiques [math]

Sheila Sandon. A Morse estimate for translated points of contactomorphisms of spheres and projective spaces. Geometriae Dedicata, 2013, 165 (1), pp.95-110. ⟨10.1007/s10711-012-9741-1⟩. ⟨hal-01317449⟩