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Let $\Pi$ be a nondegenerate tangent plane to $M$, a semi-Riemannian manifold, at $p$. If $P$ is a small enough neighborhood of 0 in $\Pi$. What is the Gaussian curvature at $p$ of $\exp_p(P)$?

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    It should be $K(\Pi)$ where $K$ is the sectional curvature of $M$??.2011-12-12

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