438 citations
- University of WaterlooCA46 papers
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14 papers · 1 filter
Homological Lagrangian monodromy
Shengda Hu, Francois Lalonde, Remi Leclercq
We show that the Hamiltonian Lagrangian monodromy group, in its homological version, is trivial for any weakly exact Lagrangian submanifold of a symplectic manifold. The proof reli…
Finding a sun in building-free graphs
Elaine M. Eschen, Chinh T. Hoang, Jeremy P. Spinrad +1
Deciding whether an arbitrary graph contains a sun was recently shown to be NP-complete. We show that whether a building-free graph contains a sun can be decided in O(min$\{m{n^3},…
Smoothed dynamics in the central field problem
Manuele Santoprete, Cristina Stoica
Consider the motion of a material point of unit mass in a central field determined by a homogeneous potential of the form , where being the distance to the cen…
Saari's Homographic Conjecture of the Three-Body Problem
Florin Diacu, Toshiaki Fujiwara, Ernesto Perez-Chavela +1
Saari's homographic conjecture, which extends a classical statement proposed by Donald Saari in 1970, claims that solutions of the Newtonian -body problem with constant configur…
Seven-body central configurations: a family of central configurations in the spatial seven-body problem
Marshall Hampton, Manuele Santoprete
The main result of this paper is the existence of a new family of central configurations in the Newtonian spatial seven-body problem. This family is unusual in that it is a simplex…
Convex Four Body Central Configurations with Some Equal Masses
Ernest Perez-Chavela, Manuele Santoprete
We prove that there is a unique convex non-collinear central configuration of the planar Newtonian four-body problem when two equal masses are located at opposite vertices of a qua…