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111 citations

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8 papers · 1 filter

math.DG2009

Fatou's Theorem and minimal graphs

Jose M. Espinar, Harold Rosenberg

In this paper we extend a recent result of Collin-Rosenberg ({\it a solution to the minimal surface equation in the Euclidean disc has radial limits almost everywhere}) to a large…

math.DG2008

The holomorphic Gauss Parametrization

Marcos Dajczer, Luis A. Florit

We give a local parametric description of all holomorphic hypersurfaces in complex Euclidean and projective spaces with constant index of relative nullity, together with applicatio…

math.DG2008

Genuine deformations of submanifolds II:the conformal case

Luis A. Florit, Ruy Tojeiro

We extend to the conformal realm the concept of genuine deformations of submanifolds, introduced by Dajczer and the first author for the isometric case. Analogously to that case, w…

math.DG2007

Convexity in locally conformally flat manifolds with boundary

Marcos P. Cavalcante

Given a closed subset $\La$ of the open unit ball , , we will consider a complete Riemannian metric on $\bar{B_1} \setminus \La$ of constant scala…

math.DG2006★ 11 cited

The Dirichlet problem for constant mean curvature surfaces in Heisenberg space

Luis J. Alias, Marcos Dajczer, Harold Rosenberg

We study constant mean curvature graphs in the Riemannian 3-dimensional Heisenberg spaces . Each such is the total space of a Riemannian submersion…

math.DG2006

Complete real Kahler submanifolds in codimension two

Luis A. Florit, Fangyang Zheng

Minimal isometric immersions F in codimension two from a complete Kahler manifold into Euclidean space had been classified for dimension greater than or equal to 3. In this note we…