[BOOK][B] The restricted three-body problem and holomorphic curves
U Frauenfelder, O Van Koert - 2018 - Springer
Each “Pathways in Mathematics” book offers a roadmap to a currently well develo**
mathematical research field and is a first-hand information and inspiration for further study …
mathematical research field and is a first-hand information and inspiration for further study …
[HTML][HTML] Contact structures with singularities: from local to global
In this article we introduce and analyze in detail singular contact structures, with an
emphasis on b m-contact structures, which are tangent to a given smooth hypersurface Z …
emphasis on b m-contact structures, which are tangent to a given smooth hypersurface Z …
Symplectic embedding problems, old and new
F Schlenk - Bulletin of the American Mathematical Society, 2018 - ams.org
Symplectic embedding problems, old and new Page 1 BULLETIN (New Series) OF THE
AMERICAN MATHEMATICAL SOCIETY Volume 55, Number 2, April 2018, Pages 139–182 …
AMERICAN MATHEMATICAL SOCIETY Volume 55, Number 2, April 2018, Pages 139–182 …
The singular Weinstein conjecture
In this article, we investigate Reeb dynamics on b m-contact manifolds, previously
introduced in [37], which are contact away from a hypersurface Z but satisfy certain …
introduced in [37], which are contact away from a hypersurface Z but satisfy certain …
On the singular Weinstein conjecture and the existence of escape orbits for -Beltrami fields
Motivated by Poincaré's orbits going to infinity in the (restricted) three-body problem [see H.
Poincaré, Les Méthodes Nouvelles de la Mécanique Céleste, Vol. 3 (Gauthier-Villars, 1899) …
Poincaré, Les Méthodes Nouvelles de la Mécanique Céleste, Vol. 3 (Gauthier-Villars, 1899) …
First steps towards a symplectic dynamics
B Bramham, H Hofer - arxiv preprint arxiv:1102.3723, 2011 - arxiv.org
Many interesting physical systems have mathematical descriptions as finite-dimensional or
infinite-dimensional Hamiltonian systems. Poincare who started the modern theory of …
infinite-dimensional Hamiltonian systems. Poincare who started the modern theory of …
Morse theory, closed geodesics, and the homology of free loop spaces
A Oancea - arxiv preprint arxiv:1406.3107, 2014 - arxiv.org
This is a survey paper on Morse theory and the existence problem for closed geodesics. The
free loop space plays a central role, since closed geodesics are critical points of the energy …
free loop space plays a central role, since closed geodesics are critical points of the energy …
Global surfaces of section in the planar restricted 3-body problem
The restricted planar three-body problem has a rich history, yet many unanswered questions
still remain. In the present paper we prove the existence of a global surface of section near …
still remain. In the present paper we prove the existence of a global surface of section near …
Genus zero global surfaces of section for Reeb flows and a result of Birkhoff.
We exhibit sufficient conditions for a finite collection of periodic orbits of a Reeb flow on a
closed 3-manifold to bound a positive global surface of section with genus zero. These …
closed 3-manifold to bound a positive global surface of section with genus zero. These …
Hamiltonian facets of classical gauge theories on E-manifolds
Manifolds with boundary, with corners, b-manifolds and foliations model configuration
spaces for particles moving under constraints and can be described as E-manifolds. E …
spaces for particles moving under constraints and can be described as E-manifolds. E …