Article ID Journal Published Year Pages File Type
4658945 Topology and its Applications 2013 7 Pages PDF
Abstract

Let p be an odd prime. For the real Stiefel manifold Vm+k,k=SO(m+k)/SO(m), we obtain an upper bound of its p-primary homotopy exponent by decomposing ΩVm+k,k as the product of some simpler spaces for m+k⩽(p−1)2+2.

Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology