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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
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...
A path model for geodesics in Euclidean buildings and its applications to representation theory
path model for geodesics Euclidean buildings representation theory
2015/10/14
In this paper we give a combinatorial characterization of projections ofgeodesics in Euclidean buildings to Weyl chambers. We apply these results to the representation theory of complex reductive Lie ...
Let M3 be a Margulis spacetime whose associated complete hyperbolic surface
62 has a compact convex core. Generalizing the correspondence between closed geodesics
on M3
and closed geodesics on 62
...
We introduce the notion of recurrent geodesic rays in
a complete °at Lorentz 3-manifold. We completely classify the
dynamical behavior of geodesics in cyclic quotients, and apply this
classiˉcation...
Fast geodesics computation with the phase flow method
Geodesics Weighted geodesics Geodesic flow The phase flow method Manifolds Tangent bundles Charts Surface parameterization Spline interpolation
2015/7/14
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface.The idea is to apply the recently developed phase flow method [L. Ying, E.J. Cande `s,...
Fast Geodesics Computation with the Phase Flow Method
Geodesics weighted geodesics geodesic flow the phase flow method manifolds tangent bundles charts surface parameterization spline interpolation
2015/6/17
This paper introduces a novel approach for rapidly computing a very large number of geodesics on a smooth surface. The idea is to apply the recently developed phase flow method [15], an efficient and ...
Infinite dimensional Morse theory for geodesics on Finsler manifolds
Infinite dimensional Morse theory geodesics Finsler manifolds
2015/3/18
Infinite dimensional Morse theory for geodesics on Finsler manifolds.
Closed Geodesics and the Free Loop Space.
Discrete Geodesics
Discrete Geodesics coplanar
2014/10/30
Inside a triangle, the geodesic path is a line segment • When crossing an edge, the geodesic path is also a line segment if we unfold one triangle such that the two adjacent triangles are copla...
Aperiodic Sequences and Aperiodic Geodesics
Recurrence Bernoulli-shift Geodesic Flow Flow-invariant Sets Symbolic Dynamics
2012/6/19
We introduce a quantitative condition on orbits of dynamical systems which measures their aperiodicity. We show the existence of sequences in the Bernoulli-shift and geodesics on closed hyperbolic man...
Geodesics in the space of Kahler cone metrics
Geodesics the space of Kahler cone metrics Analysis of PDEs
2012/5/9
In this paper, we prove the existence and uniqueness of the weak cone geodesics in the space of K\"ahler cone metrics by solving the singular, homogeneous complex Monge-Amp\`{e}re equation. As an appl...
Improved geodesics for the reduced curvature-dimension condition in branching metric spaces
Ricci curvature metric measure spaces branching metric spaces Differential Geometry
2012/3/1
In this note we show that in metric measure spaces satisfying the reduced curvature-dimension condition CD*(K,N) we always have geodesics in the Wasserstein space of probability measures that satisfy ...
The aim of this paper is to extend the Morse theory for geodesics to the conical manifolds. In a previous paper [15] we de ned these manifolds as submanifolds of Rn with a nite number of conical sing...
The aim of this paper is to extend the definition of geodesics to conical manifolds, defined as submanifolds of Rn with a finite number of singu-larities.
Geodesics of electrically and magnetically charged test particles in the Reissner-Nordström space-time: analytical solutions
Geodesics of electrically magnetically charged test particles
2010/12/20
We present the full set of analytical solutions of the geodesic equations of charged test particles in the Reissner-Nordstr¨om space-time in terms of the Weierstraß }, and elliptic functions...