Gauss-Bonnet type theorems in any dimension

Abstract

Given a construction of smooth homotopy class invariants of smooth immersions $M^n\to R^{n+k}$. The particular case of $k=1,n\ge 1$ is a sequence of non-zero integrals, where the $n=2$ term is the Gauss-Bonnet integral

6 pages, LaTeX; inductive definition of curvature in polyhedral terms added