Výsledky vyhledávání - "Ferrer, Leonor"

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Families of minimal surfaces in $\mathbb{H}^2 \times \mathbb{R}$ foliated by arcs and their Jacobi fields

Autor: Ferrer, Leonor, Martín, Francisco, Mazzeo, Rafe, Rodríguez, Magdalena

This note provides some new perspectives and calculations regarding an interesting known family of minimal surfaces in $\mathbb{H}^2 \times \mathbb{R}$. The surfaces in this family are the catenoids, parabolic catenoids and tall rectangles. Each is f

Externí odkaz: http://arxiv.org/abs/1901.04066

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Properly embedded minimal annuli in $\mathbb{H}^2 \times \mathbb{R}$

Autor: Ferrer, Leonor, Martin, Francisco, Mazzeo, Rafe, Rodriguez, M. Magdalena

In this paper we study the moduli space of properly Alexandrov-embedded, minimal annuli in $\mathbb{H}^2 \times \mathbb{R}$ with horizontal ends. We say that the ends are horizontal when they are graphs of $\mathcal{C}^{2, \alpha}$ functions over $\p

Externí odkaz: http://arxiv.org/abs/1704.07788

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Existence of proper minimal surfaces of arbitrary topological type

Autor: Ferrer, Leonor, Martin, Francisco, Meeks III, William H.

Consider a domain D in R^3 which is convex (possibly all R^3) or which is smooth and bounded. Given any open surface M, we prove that there exists a complete, proper minimal immersion f : M --> D. Moreover, if D is smooth and bounded, then we prove t

Externí odkaz: http://arxiv.org/abs/0903.4194

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A construction of a complete bounded null curve in $\mathbb{C}^3$

Autor: Ferrer, Leonor, Martin, Francisco, Umehara, Masaaki, Yamada, Kotaro

We construct a complete bounded immersed null holomorphic curve in C^3, which is a recovery of the previous version of the paper Calc. Var. and PDE's vol 36 (2009); Erratum: to appear in Calc. Var. and PDE's, doi:10.1007/s00526-009-0226-5 by the last

Externí odkaz: http://arxiv.org/abs/math/0603530

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Minimal surfaces with helicoidal ends

Autor: Ferrer, Leonor, Martin, Francisco

In this paper we describe a new deformation that connects minimal disks with planar ends with minimal disks with helicoidal ends. In this way, we are able to construct a family of complete minimal surfaces with helicoidal ends that contains the singl

Externí odkaz: http://arxiv.org/abs/math/0405588

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