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I was wondering if the set of singular loops is a (somewhere) submanifold of loop space?
The set of all smooth maps $S^1\to M^n$ ($M$ is a smooth manifold) is a generalized manifold(see http://ncatlab.org/nlab/show/smooth+loop+space).
I was wondering if the set of singular loops (maps ...
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0
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The tangent space to the Hilbert manifold of $H^1$ loops at non-smooth loops
It is satisfactory to have a nice functional analytic setting for the energy functional in Riemannian geometry. I'm currently deep into Klingenberg's book "Riemannian geometry" which (among other ...
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