On the Gauss-Bonnet theorem for complete manifolds

Rosenberg, Steven

doi:10.1090/S0002-9947-1985-0768738-0

On the Gauss-Bonnet theorem for complete manifolds
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Trans. Amer. Math. Soc. 287 (1985), 745-753 Request permission

Abstract:

For a manifold diffeomorphic to the interior of a compact manifold with boundary, several classes of complete metrics are given for which the Gauss-Bonnet Theorem is valid.

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