Showing 2010 · math.DGShow all

13 papers · 2 filters

math.DG2010★ 3 cited

On stable compact minimal submanifolds

Francisco Torralbo, Francisco Urbano

Stable compact minimal submanifolds of the product of a sphere and any Riemannian manifold are classified whenever the dimension of the sphere is at least three. The complete class…

math.DG2010★ 1 cited

Comparison results for capacity

Ana Hurtado, Vicente Palmer, Manuel Ritoré

We obtain in this paper bounds for the capacity of a compact set . If is contained in an -dimensional Cartan-Hadamard manifold, has smooth boundary, and the principal…

math.DG2010★ 42 cited

Existence of isoperimetric regions in contact sub-Riemannian manifolds

Matteo Galli, Manuel Ritoré

We prove existence of regions minimizing perimeter under a volume constraint in contact sub-Riemannian manifolds such that their quotient by the group of contact transformations pr…

math.DG2010★ 10 cited

Gromov, Cauchy and causal boundaries for Riemannian, Finslerian and Lorentzian manifolds

J. L. Flores, J. Herrera, M. Sanchez

Recently, the old notion of causal boundary for a spacetime V has been redefined in a consistent way. The computation of this boundary for a standard conformally stati…

math.DG2010

Comparison of exit moment spectra for extrinsic metric balls

Ana Hurtado, Steen Markvorsen, Vicente Palmer

We prove explicit upper and lower bounds for the -moment spectra for the Brownian motion exit time from extrinsic metric balls of submanifolds in ambient Riemannian spac…

math.DG2010

Complete stable CMC surfaces with empty singular set in Sasakian sub-Riemannian 3-manifolds

César Rosales

For constant mean curvature surfaces of class immersed inside Sasakian sub-Riemannian 3-manifolds we obtain a formula for the second derivative of the area which involves hor…