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A lower bound of the energy functional of a class of vector fields and a characterization of the sphere
Giovanni da Silva Nunes, Jaime Ripoll
Let be a compact, orientable, -dimensional Riemannian manifold, , and let be the energy functional acting on the space of vector fields of $…
On the critical points of the energy functional on vector fields of a Riemannian manifold
Giovanni Nunes, Jaime Ripoll
Given a compact Lie subgroup of the isometry group of a compact Riemannian manifold with a Riemannian connection it is introduced a symmetrization process of…
The Gauss map on translational Riemannian manifolds and the topology of hypersurfaces
Eduardo R. Longa, Jaime B. Ripoll
We introduce the notion of translational Riemannian manifolds and define a Gauss map for orientable immersed hypersurfaces lying in these ambients, an associated translational curv…
On the asymptotic Plateau's problem for CMC hypersurfaces on rank 1 symmetric spaces of noncompact type
Jean-Baptiste Casteras, Jaime Ripoll
Let be a Hadamard manifold with curvature bounded above by a negative constant , satisfying the "strict convexity condition", and assume that admits a "helicoidal" one-…
Constant mean curvature hypersurfaces with single valued projections on planar domains
Marcos Dajczer, Jaime Ripoll
A classical problem in constant mean curvature hypersurface theory is, for given , to determine whether a compact submanifold of codimension two in Euclidean spa…