The Gauss map of minimal surfaces in \({\mathbb{S}}^2 \times{\mathbb{R}} \)
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Publication:2141924
DOI10.1007/s42985-022-00174-3zbMath1493.53084arXiv2006.09995OpenAlexW3036427155WikidataQ114216372 ScholiaQ114216372MaRDI QIDQ2141924
Publication date: 25 May 2022
Published in: SN Partial Differential Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.09995
Differential geometry of homogeneous manifolds (53C30) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)
Cites Work
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- On quadratic differentials and twisted normal maps of surfaces in \(\mathbb S^2 \times\mathbb R\) and \(\mathbb H^2\times\mathbb R\)
- The Gauss map of surfaces in \(\widetilde{\mathrm {PSL}}_2(\mathbb R)\)
- Minimal surfaces in \(\mathbb{S}^{2} \times \mathbb{S}^{2}\)
- Constant mean curvature spheres in homogeneous three-manifolds
- The Gauss Map of Minimal Surfaces in the Heisenberg Group
- Isometric immersions into $\mathbb {S}^n\times \mathbb {R}$ and $\mathbb {H}^n\times \mathbb {R}$ and applications to minimal surfaces
- Constant mean curvature surfaces in metric Lie groups
- Isoperimetric domains in the Riemannian product of a circle with a simply connected space form and applications to free boundary problems
- Harmonic maps and constant mean curvature surfaces in H 2 x R
- On Conformal Correspondence of Surfaces and Manifolds
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