Surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times \mathbb R\) with holomorphic Abresch-Rosenberg differential
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Publication:531746
DOI10.1016/j.difgeo.2010.12.010zbMath1217.53058OpenAlexW1980996590WikidataQ115356992 ScholiaQ115356992MaRDI QIDQ531746
Maria Luiza Leite, Henrique Araújo
Publication date: 19 April 2011
Published in: Differential Geometry and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.difgeo.2010.12.010
Related Items (2)
On quadratic differentials and twisted normal maps of surfaces in \(\mathbb S^2 \times\mathbb R\) and \(\mathbb H^2\times\mathbb R\) ⋮ An extension of Ruh-Vilms’ theorem to hypersurfaces in symmetric spaces and some applications
Cites Work
- A Hopf differential for constant mean curvature surfaces in \(\mathbb S^2 \times \mathbb R\) and \(\mathbb H^2 \times\mathbb R\)
- Differential geometry in the large. Seminar lectures New York University 1946 and Stanford University 1956. With a preface by S. S. Chern
- Complete surfaces of constant curvature in \(H^{2} \times \mathbb R\) and \(S^{2} \times \mathbb R\)
- Surfaces of Gaussian curvature zero in Euclidean 3-space
- A characterization of constant mean curvature surfaces in homogeneous 3-manifolds
- AN ELEMENTARY PROOF OF THE ABRESCH ROSENBERG THEOREM ON CONSTANT MEAN CURVATURE IMMERSED SURFACES IN S2 x R AND H2 x R
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