Colloquim

The unitary Euler equation

IWAI Toshihiro

25th June (Fri) 13:30-

The Euler equation for a free rigid body is defined on the cotangent bundle of $SO(3)$.
This equation is generalized to that on the cotangent bundle of $U(n)$, which may be viewed as describing geodesic flows with respect to a left- or a right-invariant metric on $U(n)$.
It will be shown that when reduced on a coadjoint orbit, the geodesic flow system is completely integrable. In addition, the stability/unstability of stationary solutions will be discussed.

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