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math.DG2015
A short proof of a Theorem by Hopf
Daniel Cibotaru
A proof based on the Chern-Gauss-Bonnet Theorem is given to Hopf Theorem concerning the degree of the Gauss map of a hypersurface in .
math.DG2015
Chern-Gauss-Bonnet and Lefschetz Duality from a currential point of view
Daniel Cibotaru
We use the mapping cone for the relative deRham cohomology of a manifold with boundary in order to show that the Chern-Gauss-Bonnet Theorem for oriented Riemannian vector bundles o…