2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/55179A volume form $H$ on the $n$--dimensional sphere $S^n$ is closed $(dH=0)$, so that it is locally written as $H=dB$, where B is a $(n-1)$--form. In the first half we give an explicit form to B and, moreover, a speculation concerning higher order U(1) bundles. In the second half we apply our B in the case $n=3$ to a string soliton solution discussed by Perry and Schwarz.17 pages, LaTeX2eHigh Energy Physics - Theorytext