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Showing 2013 · math.DGShow all
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math.DG2013
Compact stable hypersurfaces with free boundary in convex solid cones with homogeneous densities
Antonio Cañete, César Rosales
We consider a smooth Euclidean solid cone endowed with a smooth homogeneous density function used to weight Euclidean volume and hypersurface area. By assuming convexity of the con…
math.DG2013★ 1 cited
Isoperimetric domains of large volume in homogeneous three-manifolds
William H. Meeks, Pablo Mira, Joaquin Perez +1
Given a non-compact, simply connected homogeneous three-manifold and a sequence of isoperimetric domains in with volumes tending to infinity, we prove that as $…
math.DG2013
The Cauchy problem for indefinite improper affine spheres and their Hessian equation
Francisco Milán
We give a conformal representation for indefinite improper affine spheres which solve the Cauchy problem for their Hessian equation. As consequences, we can characterize their geod…