Timeline for Manifolds with a lower degree of regularity
Current License: CC BY-SA 3.0
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| Mar 19, 2016 at 14:36 | history | edited | user9072 | CC BY-SA 3.0 |
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| Nov 1, 2011 at 20:32 | comment | added | deMiranda | Hi Mr. Yang, Let me be more clear. I want to know some references when the ambient manifold is smooth (for instance $\mathbb{R}^n$) and the submanifolds are Sobolev regular. My motivation was the simplest case, where the submanifold is in fact a hypersurface of $\mathbb{R}^n$, the boundary of a domain(the 'classic' PDE overview). This kind of issue usually appear when working with regularity theory for PDE's. Cheers, Luís. | |
| Nov 1, 2011 at 3:57 | comment | added | Deane Yang | Mean curvature is defined only for a submanifold of a Riemannian manifold. Do you want the ambient manifold to be a "Sobolev manifold" or the submanifold? Perhaps you could provide some more details or motivation for your question? | |
| Oct 31, 2011 at 21:55 | history | asked | deMiranda | CC BY-SA 3.0 |