The manifold of minimal tripotents in classical Cartan factors
We prove that the manifold of minimal
tripotents in classical Cartan factors is a fibre space with a
symmetric Kaehler manifold as base space and U(1) as typical fibre.
We study the symmetries, the geodesics and the
sectional curvature
of the base manifold. This extends to the infinite-dimensional case
known results in the finite dimensional setting.
J. M. Isidro <jmisidro@zmat.usc.es>