Minimal surfaces in a Randers sphere with the rotational Killing vector field

DOI10.1016/J.JMAA.2016.04.012zbMath1338.53088OpenAlexW2338850467MaRDI QIDQ275310

Ning Wei Cui

Publication date: 25 April 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.04.012

zbMATH Keywords

minimal surfaceFinsler geometryFinsler metricsRanders sphereunduloid type

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (1)

The variation of a functional on the Riemannian submanifolds and its applications

Cites Work

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• A local rigidity theorem for minimal surfaces in Minkowski 3-space of Randers type
• On Finsler geometry of submanifolds
• Minimal surfaces of rotation in Finsler space with a Randers metric
• Minimal rotational hypersurfaces in Minkowski \((\alpha , \beta )\)-space
• On minimal surfaces in a class of Finsler 3-spheres
• Nontrivial minimal surfaces in a hyperbolic Randers space
• Minimal submanifolds in general (α,β)-spaces
• Nontrivial minimal surfaces in a class of Finsler 3-spheres

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