Isoparametric hypersurfaces of a class of Finsler manifolds induced by navigation problem in Minkowski spaces

DOI10.1016/J.DIFGEO.2019.101581zbMath1442.53051OpenAlexW2983544428WikidataQ115354867 ScholiaQ115354867MaRDI QIDQ2304642

Qun He, Pei Long Dong

Publication date: 13 March 2020

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2019.101581

zbMATH Keywords

navigation problemMinkowski spaces\((d \mu)\)-isoparametric hypersurfacesCartan-type identity

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Global submanifolds (53C40) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (4)

The isoparametric functions on a class of Finsler spheres ⋮ Transnormal functions and focal varieties on Finsler manifolds ⋮ Isoparametric hypersurfaces and hypersurfaces with constant principal curvatures in Finsler spaces ⋮ Isoparametric hypersurfaces in Finsler space forms

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• Isoparametric hypersurfaces with four principal curvatures, II
• On the topology of isoparametric hypersurfaces with four distinct principal curvatures

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