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Piotr Hajlasz
Piotr Hajlasz
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Yes if N$N$ is convex - the flow will even increase or decrease distances. No if not convex, looking at n=2$n=2$. The curve length of those parts of N$N$ that are concave with respect to X$X$ will decrease, and this may balance out the contribution from the convex parts.

Yes if N is convex - the flow will even increase or decrease distances. No if not convex, looking at n=2. The curve length of those parts of N that are concave with respect to X will decrease, and this may balance out the contribution from the convex parts.

Yes if $N$ is convex - the flow will even increase or decrease distances. No if not convex, looking at $n=2$. The curve length of those parts of $N$ that are concave with respect to $X$ will decrease, and this may balance out the contribution from the convex parts.

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user127309
user127309
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Yes if N is convex - the flow will even increase or decrease distances. No if not convex, looking at n=2. The curve length of those parts of N that are concave with respect to X will decrease, and this may balance out the contribution from the convex parts.