Showing 2017 · math.DGShow all

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math.DG2017★ 19 cited

New complex analytic methods in the theory of minimal surfaces: a survey

Antonio Alarcon, Franc Forstneric

In this paper we survey recent developments in the classical theory of minimal surfaces in Euclidean spaces which have been obtained as applications of both classical and modern co…

math.DG2017

Extending Translating Solitons in Semi-Riemannian Manifolds

Erdem Kocakuşaklı, Miguel Ortega

In this paper, we recall some general properties and theorems about Translating Solitons in Semi Riemannian Manifolds. Moreover, we investigate those which are invariant by the act…

math.DG2017★ 1 cited

On the duality between rotational minimal surfaces and maximal surfaces

Rafael López, Seher Kaya

We investigate the duality between minimal surfaces in Euclidean space and maximal surfaces in Lorentz-Minkowski space in the family of rotational surfaces. We study if the dual su…

math.DG2017★ 2 cited

Some criteria for Wind Riemannian completeness and existence of Cauchy hypersurfaces

Miguel Ángel Javaloyes, Miguel Sánchez

Recently, a link between Lorentzian and Finslerian Geometries has been carried out, leading to the notion of wind Riemannian structure (WRS), a generalization of Finslerian Randers…

math.DG2017★ 16 cited

Wind Riemannian spaceforms and Randers metrics of constant flag curvature

Miguel Angel Javaloyes, Miguel Sánchez

Recently, wind Riemannian structures (WRS) have been introduced as a generalization of Randers and Kropina metrics. They are constructed from the natural data for Zermelo navigatio…

math.DG2017★ 15 cited

Interpolation by conformal minimal surfaces and directed holomorphic curves

Antonio Alarcon, Ildefonso Castro-Infantes

Let be an open Riemann surface and be an integer. We prove that on any closed discrete subset of one can prescribe the values of a conformal minimal immersion $M\t…