Let \((M,g)\) be a Riemannian manifold and \(p\in M\). Let \(r>0\) such that \(\exp_p|_{B_r(0)}\) be a diffeomorphism on its image. Then

\[ \exp (B_r(0)) = B^d_r(p), \]

where \(B^d_r\) denotes the metric ball.

This follows by (0x69350f2c) .

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