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Epsilon regularity: what does it say and where does it come from?

Below is a rather longwinded description of the special case when the singularity is at worst an isolated point. I suspect you know all this already. The magic comes at the very end (see paragraph tha …
Deane Yang's user avatar
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How does curvature change under perturbations of a Riemannian metric?

This is a straightforward consequence of the fact that $K(x)$ is a continuous function of $g(x)$, $\partial g(x)$, and $\partial^2(g)$.
Deane Yang's user avatar
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