A note on parallel mean curvature surfaces and Codazzi operators
Author:
Funder
Fundação de Apoio à Pesquisa do Estado da Paraíba
Publisher
Springer Science and Business Media LLC
Link
https://link.springer.com/content/pdf/10.1007/s00013-024-02043-4.pdf
Reference23 articles.
1. Abresch, U., Rosenberg, H.: A Hopf differential for constant mean curvature surfaces in $${\bf S}^2\times {\bf R}$$ and $${\bf H}^2\times {\bf R}$$. Acta Math. 193(2), 141–174 (2004)
2. Ahlfors, L.V., Sario, L.: Riemann Surfaces. Princeton University Press, Princeton (1960)
3. Aledo, J.A., Espinar, J.M., Gálvez, J.A.: The Codazzi equation for surfaces. Adv. Math. 224(6), 2511–2530 (2010)
4. Alencar, H., do Carmo, M., Tribuzy, R.: A Hopf theorem for ambient spaces of dimensions higher than three. J. Differ. Geom. 84(1), 1–17 (2010)
5. Batista, M., Cavalcante, M.P., Fetcu, D.: Constant mean curvature surfaces in $${\mathbb{M} }^2(c)\times {\mathbb{R} }$$ and finite total curvature. J. Geom. Anal. 27(4), 3071–3084 (2017)
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