Multiplicity of closed Reeb orbits on prequantization bundles
Sign Up to like & getrecommendations! Published in 2017 at "Israel Journal of Mathematics"
DOI: 10.1007/s11856-018-1769-y
Abstract: We establish multiplicity results for geometrically distinct contractible closed Reeb orbits of non-degenerate contact forms on a broad class of prequantization bundles. The results hold under certain index requirements on the contact form and are… read more here.
Keywords: multiplicity; closed reeb; reeb orbits; prequantization bundles ... See more keywords
Rigid constellations of closed Reeb orbits
Sign Up to like & getrecommendations! Published in 2017 at "Compositio Mathematica"
DOI: 10.1112/s0010437x17007448
Abstract: We use Hamiltonian Floer theory to recover and generalize a classic rigidity theorem of Ekeland and Lasry. That theorem can be rephrased as an assertion about the existence of multiple closed Reeb orbits for certain… read more here.
Keywords: rigid constellations; contact forms; reeb; closed reeb ... See more keywords