After many years away from maths, I have recently started to dive into a subject I only ever learned the rudiments of: differential geometry, particularly helped by a brilliant series of lectures on youtube (Lectures on Geometrical Anatomy of Theoretical Physics if you wish to check it out). This has set me thinking, though; a manifold is of course a topological space, and I wonder if there has been any work on exploring the possibility of somehow "lifting" at least parts of the differentiable structure into in a hyperspace over the manifold. I haven't been able to find anything, so far - but then, what would one search for?
2026-05-05 00:04:17.1777939457
Differential geometry in hyperspace
205 Views Asked by Bumbble Comm https://math.techqa.club/user/bumbble-comm/detail AtRelated Questions in DIFFERENTIAL-GEOMETRY
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