Conjugate points in the Grassmann manifold of a $C^{\ast }$-algebra

Esteban Andruchow, Gabriel Larotonda, Lázaro Recht

Let $Gr$ be a component of the Grassmann manifold of a $C^{\ast }$-algebra, presented as the unitary orbit of a given orthogonal projection $Gr=Gr(P)$. There are several natural connecti…