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math.DG2019
Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications
Daniel Bustos, Jaime Ripoll
It is proved some results about existence and non existence of unit normal sections of submanifolds of the Euclidean space and sphere which associated Gauss maps are harmonic. Some…
math.DG2019
Asymptotic and exterior Dirichlet problems for the minimal surface equation in the Heisenberg group with a balanced metric
Fidelis Bittencourt, Edson S. Figueiredo, Pedro Fusieger +1
It is proved that the Heisenberg group with a balanced metric, the sum of the left and right invariant metrics, splits as a Riemannian product $\…
math.DG2019
Asymptotic Plateau problem for prescribed mean curvature hypersurfaces
Jean-Baptiste Casteras, Ilkka Holopainen, Jaime B. Ripoll
We prove the existence of solutions to the asymptotic Plateau problem for hypersurfaces of prescribed mean curvature in Cartan-Hadamard manifolds . More precisely, given a suita…