1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P. R. China;
2. Department of Mathematics, Yanbian University, Yanji 133000, P. R. China
Abstract:
Let p be an odd prime. For the Stiefel manifold Wm+k,k=SU(m+k)/SU(m), we obtain an upper bound of its p-primary homotopy exponent in the stable range k≤m with k≤(p-1)2+1.