Gauss-Bonnet type theorems in any dimension

Mathematics – Differential Geometry

Scientific paper

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

Scientific paper

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

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