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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Proofs of two or infinity conjectures for Reeb orbits and closed geodesics
Reeb轨道 闭测地线 两个 无穷大猜想
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2023/11/29
In this talk, we give a proof of the conjecture of Hofer-Wysocki-Zehnder published in 2003 asserting that a smooth and autonomous Hamiltonian flow on R4 has either two or infinitely many simple period...
Closed Geodesics and the Free Loop Space
Closed Geodesics Free Loop Space
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2015/3/18
Closed Geodesics and the Free Loop Space.
Closed Geodesics in Lorentzian Surfaces
Closed Geodesics Lorentzian Surfaces
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2010/11/24
We show that every closed Lorentzian surface contains at least two closed geodesics. Explicit examples show the optimality of this claim. Refining this result we relate the least number of closed geo...
CLOSED GEODESICS AND VOLUME GROWTH OF RIEMANNIAN MANIFOLDS
CLOSED GEODESICS VOLUME GROWTH RIEMANNIAN MANIFOLDS
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2018/4/19
In this paper, we study the relation between the existence of closed geodesics and the volume growth of open Riemannian manifolds with nonnegative curvature.