Configuration space of some mechanical system and towers of bundles associated to a special multi-flag

摘要

In this Note we show that the configuration spaces of an articulated arm of length k in R ~(m+1) gives rise to a natural tower of sphere bundles. Moreover, we prove that, each tower of projective bundles associated to special multi-flags, we can associate such a tower of sphere bundles which is a two-fold covering of the previous one.