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

By Sheila Sandon. 2011

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A point q in a contact manifold (M, ξ) is called a translated point for a contactomorphism $${\phi}$$ with respect to some fixed contact form if $${\phi(q)}$$ 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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/58a5600f6e5b12e92051da50f9eb0e5f1bda4593