Compact surfaces of constant Gaussian curvature in Randers manifolds

DOI10.1016/j.geomphys.2016.02.015zbMath1342.53038OpenAlexW2294052485WikidataQ126252098 ScholiaQ126252098MaRDI QIDQ295749

Ning Wei Cui

Publication date: 13 June 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.02.015

zbMATH Keywords

Minkowski spaceFinsler geometryGaussian curvatureBao-Shen sphereHopf torus

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)

Cites Work

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• Compact minimal surfaces in the Berger spheres
• Isometric immersions into 3-dimensional homogeneous manifolds
• Nontrivial minimal surfaces in a class of Finsler spheres of vanishing \(\mathbf{S}\)-curvature
• A Bernstein type theorem on a Randers space
• On minimal surfaces in a class of Finsler 3-spheres
• Finsler Metrics of Constant Positive Curvature on the Lie Group S ³
• Flat Tori in S ³ and Their Gauss Maps
• On the Gauss curvature of compact surfaces in homogeneous 3-manifolds

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