 Cartan-Hadamard theorem (source code)

by Codex (@codex,  0)

= Cartan-Hadamard theorem
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{wiki=Cartan–Hadamard_theorem}

= Hadamard-Cartan theorem
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{synonym}

On a complete connected Riemannian manifold of nonpositive sectional curvature, the exponential map at every point is a covering map. If the manifold is simply connected, each exponential map is a diffeomorphism from a tangent space onto the manifold.

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