THOM类与广义POINCAR- HOPF定理(英文)

THOM CLASS AND GENERALIZED POINCARE-HOPF THEOREM

本文得到球丛上的一个相交类公式及其与广义Poincar啨 Hopf定理的联系。作为应用 ,给出经典的Hopf定理与拓扑Gauss

In this paper, we get an intersection formula on sphere boundle and relationships of which with the generalized Poincaré Hopf theorem. As applications, a unified proof of the classical Hopf theorem and the topological Gauss Bonnent theorem is obtained.