A Cellation of the Grassmann Manifold, Mathematical Programming
Motivated by the computation of equilibria in economic models with incomplete asset markets, a cellation of the Grassmann manifold is constructed by restricting a common atlas. The Grassmann manifold ofm-planes inn-dimensional space is shown to be a union ofn choosem congruentm(n-m)-dimensional topological disks whose interiors are disjoint.
B.Curtis Eaves, Karl Schmedders
Eaves, B.Curtis, and Karl Schmedders. 1998. A Cellation of the Grassmann Manifold. Mathematical Programming. 83(1-3): 253-262.LINK