Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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Periodic Orbits of three dimensional Contact vector-fields "in the large"

Abbas Bahri

created by risa on 23 Jan 2015

29 jan 2015 -- 14:00

Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma


Using Legendrian techniques, we prove the existence of periodic orbits for three dimensional contact vector-fields eg on S3. The technique of proof relies on variational methods "in the large". The Fadell-Rabinowitz index of the critical points at infinity turns out to be "low" when compared to that of the periodic orbits of the corresponding index. The proof opens the road to multiplicity results.

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