Complete surfaces of constant curvature in H2 × R and S2 × R

Author:

Aledo Juan A.,Espinar José M.,Gálvez José A.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference11 articles.

1. Abresch U. and Rosenberg H. (2004). A Hopf differential for constant mean curvature surfaces in $${{\mathbb{S}^2\times\mathbb{R}}}$$ and $${{\mathbb{H}^2\times\mathbb{R}}}$$ Acta Math. 193: 141–174

2. Alencar, H., do Carmo, M., Tribuzy, R.: A theorem of H. Hopf and the Cauchy–Riemann inequality, preprint (Available at http://www.pos.mat.ufal.br/AlencarCarmoTrib.pdf)

3. Fernández, I., Mira, P.: Harmonic maps and constant mean curvature surfaces in $${{\mathbb{H}^2\times\mathbb{R}}}$$ , Am. J. Math. (2006) (in press) (Available at http://arXiv.org/math.DG/0507386)

4. Fernández, I., Mira, P.: A characterization of constant mean curvature surfaces in homogeneous 3-manifolds. Diff. Geom. Appl. (2006) (in press)

5. Gálvez, J.A., Mira, P.: (in preparation)

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