First integrals of the geodesic flow on nilpotent Lie groups of step at most three

Gabriela Ovando (Universidad Nacional de Rosario)

16-Sep-2020, 15:00-16:00 (4 years ago)

Abstract: In this talk we would like to consider the question of integrability of the geodesic flow on nilmanifolds. We start with nilpotent Lie groups, mostly of step two and three, equipped with a left-invariant metric. We show some algebraic relations when studying functions in involution and we obtain explicit examples in low dimensions. Some examples of Liouville integrability in compact quotients will be shown.

differential geometry

Audience: researchers in the topic

( video )

Comments: Notice that the schedule has been shifted one week forward, with Ovando's seminar three weeks after Siffert's.


Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Riemannian geometry.

The seminar meets every other Wednesday. To accommodate most time zones, the time rotates. The Zoom link is sent to the mailing list around 24 hours before each talk. To subscribe to the mailing list, send a message to geometrywithsymmetries@gmail.com requiring it.

Organizers: Fernando Galaz-GarcĂ­a*, Carolyn Gordon, Ramiro Lafuente*, Emilio Lauret*
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