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Kevin Wampler wrote:
> I thought the underlying assumption in this thread was that we're
> dealing spaces equipped with a metric tensor, do you automatically get a
> definition of distance in the standard manner. How does this require
> extra care to define?
>
> I suppose you could argue that circles are a bit trickier to define, but
> I think the normal one will work well, and should even be well-behaved
> on genus-0 manifolds, or locally on any smooth manifold (like spherical
> or hyperbolic spaces).
That's a whole crapload of jargon, right there.
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