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math.DG2014
Heat flow within convex sets
James Dibble
A solution to the heat equation between Riemannian manifolds, where the domain is compact and possibly has boundary, will not leave a compact and locally convex set before the imag…
math.DG2014
The convexity radius of a Riemannian manifold
James Dibble
The ratio of convexity radius over injectivity radius may be made arbitrarily small within the class of compact Riemannian manifolds of any fixed dimension at least two. This is pr…