Height estimates for constant mean curvature graphs in $$\mathrm {Nil}_3$$Nil3 and $${\widetilde{PSL_2}}({\mathbb {R}})$$PSL2~(R)
Author:
Funder
Ministerio de Ciencia e Innovación
Junta de Andalucía
Ministerio de Economía, Industria y Competitividad, Gobierno de España
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
http://link.springer.com/content/pdf/10.1007/s00013-018-1286-6.pdf
Reference21 articles.
1. Abresch, U., Rosenberg, H.: A Hopf differential for constant mean curvature surfaces in $${\mathbb{S}}^2\times \mathbb{R}$$ S 2 × R and $${\mathbb{H}}^2\times {\mathbb{R}}$$ H 2 × R . Acta Math. 193, 141–174 (2004)
2. Abresch, U., Rosenberg, H.: Generalized Hopf differentials. Mat. Contemp. 2(8), 1–28 (2005)
3. Aledo, J.A., Espinar, J.M., Gálvez, J.A.: Height estimates for surfaces with positive constant mean curvature in $${\mathbb{M}}^2\times {\mathbb{R}}$$ M 2 × R . Ill. J. Math. 52, 203–211 (2008)
4. Barbosa, J.L., do Carmo, M., Eschenburg, J.: Stability of hypersurfaces with constant mean curvature in Riemannian manifolds. Math Z. 197, 123–138 (1988)
5. Daniel, B.: Isometric immersions into 3-dimensional homogeneous manifolds. Comment. Math. Helv. 8(2), 87–131 (2007)
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