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- W4293583399 abstract "Let M be a smooth closed manifold and T*M its cotangent bundle endowed with the usual symplectic structure. A hypersurface S in T*M is said to be fiberwise starshaped if for each point q in M the intersection of S with the fiber at q is starshaped with respect to the origin. In this thesis we give lower bounds of the growth rate of the number of closed Reeb orbits on a fiberwise starshaped hypersurface in terms of the topology of the free loop space of M. We distinguish the two cases that the fundamental group of the base space M has an exponential growth of conjugacy classes or not. If the base space M is simply connected we generalize the theorem of Ballmann and Ziller on the growth of closed geodesics to Reeb flows." @default.
- W4293583399 created "2022-08-30" @default.
- W4293583399 creator A5071343574 @default.
- W4293583399 date "2011-05-19" @default.
- W4293583399 modified "2023-09-23" @default.
- W4293583399 title "The Weinstein conjecture with multiplicities on spherizations" @default.
- W4293583399 doi "https://doi.org/10.48550/arxiv.1105.3886" @default.
- W4293583399 hasPublicationYear "2011" @default.
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