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Teichmüller theory and surfaces in 3-manifolds

Rigidity of convex surfaces in space forms and derivatives of the Hilbert-Einstein functional

speaker: Ivan Izmestiev (FU Berlin)

abstract: We show how the classical rigidity theorem for convex surfaces is related to the variational properties of the Hilbert-Einstein functional. For a Riemannian metric on a manifold with boundary, the Hilbert-Einstein functional is the integral of the scalar curvature of the interior plus the integral of the mean curvature of the boundary.

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