Stability of constant mean curvature surfaces in three-dimensional warped product manifolds
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Publisher
Springer Science and Business Media LLC
Subject
Geometry and Topology,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s10455-019-09656-x.pdf
Reference28 articles.
1. Abresch, U., Rosenberg, H.: A Hopf differential for constant mean curvature surfaces in $${\mathbf{S}}^2\times {\mathbf{R}}$$ S 2 × R and $${\mathbf{H}}^2\times {\mathbf{R}}$$ H 2 × R . Acta Math. 193(2), 141–174 (2004)
2. Aledo, J., Rubio, R.: Stable minimal surfaces in Riemannian warped products. J. Geom. Anal. 27(1), 65–78 (2017)
3. Alías, L., Dajczer, M.: Uniqueness of constant mean curvature surfaces properly immersed in a slab. Comment. Math. Helv. 81(3), 653–663 (2006)
4. Alías, L., Dajczer, M.: Constant mean curvature hypersurfaces in warped product spaces. Proc. Edinb. Math. Soc. (2) 50(3), 511–526 (2007)
5. Alías, L., Impera, D., Rigoli, M.: Hypersurfaces of constant higher order mean curvature in warped products. Trans. Am. Math. Soc. 365(2), 591–621 (2013)
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