Rigidity of Surfaces with Constant Extrinsic Curvature in Riemannian Product Spaces
Author:
Funder
Conselho Nacional de Desenvolvimento Científico e Tecnológico
Fundación Séneca
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00574-020-00203-y.pdf
Reference25 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, 141–174 (2004)
2. Aledo, J.A., Alías, L.J., Romero, A.: A new proof of Liebmann classical rigidity theorem for surfaces in space forms. Rocky Mt. J. Math. 35, 1811–1824 (2005)
3. Aledo, J.A., Espinar, J.M., Gálvez, J.A.: Complete surfaces of constant curvature in $${\mathbb{H}}^{2}\times {\mathbb{R}}$$ and $${\mathbb{S}}^{2}\times {\mathbb{R}}$$. Calc. Var. Partial Differ. Equ. 29, 347–363 (2007)
4. Aledo, J.A., Espinar, J.M., Gálvez, J.A.: Surfaces with constant curvature in $${\mathbb{S}}^{2}\times {\mathbb{R}}$$ and $${\mathbb{H}}^{2}\times {\mathbb{R}}$$. Height estimates and representation. Bull. Braz. Math. Soc. (N.S) 38, 533–554 (2007)
5. Alías, L.J., Impera, D., Rigoli, M.: Hypersurfaces of constant higher order mean curvature in warped products. Trans. Am. Math. Soc. 365, 591–621 (2013)
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