2 papers
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
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…