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On The Group of Strong Symplectic Homeomorphisms
(Universidad de La Frontera. Departamento de Matemática y EstadísticaUniversidade Federal de Pernambuco. Departamento de Matemática, 2010)
Existence of orthogonal geodesic chords on Riemannian manifolds with concave boundary and homeomorphic to the N-dimensional disk
(PERGAMON-ELSEVIER SCIENCE LTD, 2010)
In this paper we give a proof of the existence of an orthogonal geodesic chord on a Riemannian manifold homeomorphic to a closed disk and with concave boundary. This kind of study is motivated by the link (proved in Giambo ...
Multiple Brake Orbits and Homoclinics in Riemannian Manifolds
(SPRINGER, 2011)
Let (M, g) be a complete Riemannian manifold, Omega subset of Man open subset whose closure is homeomorphic to an annulus. We prove that if a,Omega is smooth and it satisfies a strong concavity assumption, then there are ...
The moment map and the group of volume-preserving diffeomorphisms: applications to differential geometry
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2023-06-01)
In this work, we use this moment map to relate solutions to certain differential equations to (i) diffeomorphisms of compact Riemann surfaces, (ii) additional Kähler metrics on a given compact Kähler manifold, and (iii) ...