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math.DG2008
Torsional rigidity of submanifolds with controlled geometry
A. Hurtado, S. Markvorsen, V. Palmer
We prove explicit upper and lower bounds for the torsional rigidity of extrinsic domains of submanifolds P^m with controlled radial mean curvature in ambient Riemannian manifolds N…
math.DG2007★ 2 cited
Results related to generalizations of Hilbert's non-immersibility theorem for the hyperbolic plane
David Brander
We discuss generalizations of the well-known theorem of Hilbert that there is no complete isometric immersion of the hyperbolic plane into Euclidean 3-space. We show that this prob…
math.DG2007
Extrinsic Isoperimetric Analysis on Submanifolds with Curvatures Bounded from Below
Steen Markvorsen, Vicente Palmer
We obtain upper bounds for the isoperimetric quotients of extrinsic balls of submanifolds in ambient spaces which have a lower bound on their radial sectional curvatures. The subma…