Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Rodríguez 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
Publikováno v:
Geom. Topol. 18 (2014) 141-177
We construct the first examples of complete, properly embedded minimal surfaces in $\mathbb{H}^2 \times \mathbb{R}$ with finite total curvature and positive genus. These are constructed by gluing copies of horizontal catenoids or other nondegenerate
Externí odkaz:
http://arxiv.org/abs/1208.5253
Publikováno v:
Journal of Geometric Analysis, 25 (2015), no. 1, 336-346
We prove that any complete surface with constant mean curvature in a homogeneous space E(\kappa,\tau) which is transversal to the vertical Killing vector field is, in fact, a vertical graph. As a consequence we get that any orientable, parabolic, com
Externí odkaz:
http://arxiv.org/abs/1206.1578
In this paper we study minimal and constant mean curvature (cmc) periodic surfaces in H^2 x R. More precisely, we consider quotients of H^2 x R by discrete groups of isometries generated by horizontal hyperbolic translations f and/or a vertical trans
Externí odkaz:
http://arxiv.org/abs/1106.5900
We prove that any non-simply connected planar domain can be properly and minimally embedded in H^2 x R. The examples that we produce are vertical bi-graphs, and they are obtained from the conjugate surface of a Jenkins-Serrin graph.
Comment: 18
Comment: 18
Externí odkaz:
http://arxiv.org/abs/1106.4596
Autor:
Rodríguez, M. Magdalena
For any m > 0, we construct properly embedded minimal surfaces in H^2 x R with genus zero, infinitely many vertical planar ends and m limit ends. We also provide examples with an infinite countable number of limit ends. All these examples are vertica
Externí odkaz:
http://arxiv.org/abs/1009.3524
In this paper we finish the classification of rotational special Weingarten surfaces in S^2 x R and H^2 x R; i.e. rotational surfaces in S^2 x R and H^2 x R whose mean curvature h and extrinsic curvature K_e satisfy h=f(h^2-K_e), for some function f
Externí odkaz:
http://arxiv.org/abs/1007.5273
Given k>=2, we construct a (2k-2)-parameter family of properly embedded minimal surfaces in H^2 x R invariant by a vertical translation T, called Saddle Towers, which have total intrinsic curvature 4 pi(1-k), genus zero and 2k vertical Scherk-type en
Externí odkaz:
http://arxiv.org/abs/0910.5676
Publikováno v:
Calculus of Variations and Partial Differential Equations, 42 (2011), no. 1-2, 137-152
We prove that if u is a bounded smooth function in the kernel of a nonnegative Schrodinger operator $-L=-(\Delta +q)$ on a parabolic Riemannian manifold M, then u is either identically zero or it has no zeros on M, and the linear space of such functi
Externí odkaz:
http://arxiv.org/abs/0910.5373
We obtain an optimal estimate for the extrinsic curvature of an entire minimal graph in $\H^2\times\R$, $\H^2$ the hyperbolic plane.
Comment: 5 figures
Comment: 5 figures
Externí odkaz:
http://arxiv.org/abs/0903.1371