Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes
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Abstract
We give a geometric characterization of certain hypersurfaces of cohomogeneity one in the complex projective and hyperbolic planes. We also obtain some partial classi fications of austere hypersurfaces and of Levi-flat hypersurfaces with constant mean curvature in these spaces.
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This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s10231-017-0687-7
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Díaz-Ramos, J.C., Domínguez-Vázquez, M. & Vidal-Castiñeira, C. Strongly 2-Hopf hypersurfaces in complex projective and hyperbolic planes. Annali di Matematica 197, 469–486 (2018)