Hadamard–Cartan theorem

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The Hadamard–Cartan theorem is a fundamental result in differential geometry stating that a complete, simply connected Riemannian manifold with non-positive sectional curvature is diffeomorphic to Euclidean space via the exponential map at any point.

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Hadamard–Cartan theorem canonical	1

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Hopf conjecture (on Euler characteristic and curvature) → relatedTo → Hadamard–Cartan theorem ⓘ