Surfaces in $${\mathbb{S}^2\times\mathbb{R}}$$ with a canonical principal direction
Author:
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s10455-008-9140-x.pdf
Reference9 articles.
1. Abresch U., Rosenberg H.: 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(2), 141–174 (2004)
2. Albujer, A.L., & Alías, L.J.: Calabi–Bernstein results for maximal surfaces in Lorentzian product spaces. (preprint, arXiv:0709.4363.)
3. Alías L.J., Dajczer M., Ripoll J.: A Bernstein-type theorem for Riemannian manifolds with a killing field. Ann. Global. Anal. Geom. 31(4), 363–373 (2007)
4. Byrd P.F., Friedman M.D.: Handbook of Elliptic Integrals for Engineers and Scientists, 2nd edn. Springer-Verlag, New York (1971)
5. Daniel, B.: Isometric immersions into $${\mathbb{S}^n \times \mathbb{R}}$$ and $${\mathbb{H}^n \times \mathbb{R}}$$ and applications to minimal surfaces. Trans. Amer. Math. Soc. (to appear)
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