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arXiv · 1110.0691

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

Sheila Sandon
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Abstract

A point q in a contact manifold 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.

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Sheila Sandon. 2011-10-04. A Morse estimate for translated points of contactomorphisms of spheres and projective spaces. https://doi.org/10.1007/s10711-012-9741-1

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