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Home » Hamiltonian Postdoc Workshop: Sectional curvatures in the strong force 4-body problem

Seminar

Hamiltonian Postdoc Workshop: Sectional curvatures in the strong force 4-body problem November 12, 2018 (11:15 AM PST - 12:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Connor Jackman (University of California, Santa Cruz)
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Abstract/Media

The Jacobi-Maupertuis principle converts natural mechanical systems at fixed

energy into geodesic flow of a certain metric. We will find some sectional curvatures of

the metric associated to the four body problem with a 1/r2 potential (forces proportional

to the inverse distances cubed) and equal masses. Then we will deduce some dynamical

consequences for the collinear, parallelogram, or trapezoidal four body subproblems.

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