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Oct 8, 2014 at 11:37 comment added Willie Wong For the mean curvature alone, in a much more general setting (arbitrary codimension embeddings of pseudo-Riemannian manifolds), I computed the first variation of the mean curvature vector in section A.5 of this paper following a variation of what Deane described (using Christoffel symbols instead of frames) here.
Oct 7, 2014 at 11:47 history edited Deane Yang CC BY-SA 3.0
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Oct 7, 2014 at 11:34 history answered Deane Yang CC BY-SA 3.0