Department of Mathematics, Indiana University, Bloomington, Indiana 47405 ; Department of Mathematics, Rice University, Houston, Texas 77251
Abstract:
The unit -planes on which the first Pontryagin form of the Grassmann manifolds achieves its maximum are determined. This is a shorter and unified proof of results first obtained in 1995 by H. Gluck et al. and in 1998 by W. Gu.