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Gauss-Bonnet type theorems in any dimension

Valery Dolotin

math.DGarXiv:math/0111104

Abstract

Given a construction of smooth homotopy class invariants of smooth immersions Mn Rn+k. The particular case of k=1, n 1 is a sequence of non-zero integrals, where the n=2 term is the Gauss-Bonnet integral

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