A note on surfaces in $\h^2\times\r$

Stefano Montaldo; Irene I. Onnis

A note on surfaces in $\h^2\times\r$

Differential Geometry 2007-05-23 v2

Authors: Stefano Montaldo , Irene I. Onnis

Abstract

In this article we consider surfaces in the product space $\h^2\times \r$ of the hyperbolic plane $\h^2$ with the real line. The main results are: a description of some geometric properties of minimal graphs; new examples of complete minimal graphs; the classification of umbilical surfaces.

Keywords

hyperbolic surfaces minimal surfaces differential geometry of surfaces and curves in euclidean space

Cite

@article{arxiv.math/0604415,
  title  = {A note on surfaces in $\h^2\times\r$},
  author = {Stefano Montaldo and Irene I. Onnis},
  journal= {arXiv preprint arXiv:math/0604415},
  year   = {2007}
}

Comments

11 pages, 5 figures

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