Biquotients with integrable geodesic flow
by
Ya. V. Bazaikin

Thimm had found a new method of integrating the geodesic flows on homogeneous manifolds and successfully applied it to Grassmann manifolds. Paternain and Spatzier, using Thimm's method and a technique of a Riemannian submersion, proved integrability of the geodesic flows on biquotients diffeomorphic to Eschenburg's spaces.

The author studies integrability of the geodesic flow on biquotients of general form and finds a lower estimate for number of independent first integrals. He uses it to proving the integrability of the geodesic flows on positively curved Eschenburg's spaces and positively curved 13-dimensional spaces introduced by the author.

Date received: March 3, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cadw-51.