Isoparametric hypersurfaces in Minkowski spaces

DOI10.1016/j.difgeo.2016.03.008zbMath1339.53055arXiv1507.04219OpenAlexW2963521470WikidataQ115355698 ScholiaQ115355698MaRDI QIDQ288877

Qun He, Song-Ting Yin, Yi-Bing Shen

Publication date: 27 May 2016

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

Full work available at URL: https://arxiv.org/abs/1507.04219

zbMATH Keywords

isoparametric hypersurfacesmean curvatureprincipal curvatureFinsler-Laplacianisoparametric function

Mathematics Subject Classification ID

Global submanifolds (53C40) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

Related Items (20)

Submersion and homogeneous spray geometry ⋮ Isoparametric hypersurfaces in a Randers sphere of constant flag curvature ⋮ The Minkowski norm and Hessian isometry induced by an isoparametric foliation on the unit sphere ⋮ Isoparametric hypersurfaces in conic Finsler manifolds ⋮ Isoparametric hypersurfaces induced by navigation in Lorentz Finsler geometry ⋮ On Finsler transnormal functions ⋮ 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 ⋮ Unnamed Item ⋮ Differential geometry of immersed surfaces in three-dimensional normed spaces ⋮ On isoperimetric problem in a 2-dimensional Finsler space of Funk type ⋮ On singular Finsler foliation ⋮ Huygens’ envelope principle in Finsler spaces and analogue gravity ⋮ The mean curvature flow in Minkowski spaces ⋮ Isoparametric hypersurfaces in Funk spaces ⋮ Classifications of isoparametric hypersurfaces in Randers space forms ⋮ Isoparametric hypersurfaces in Finsler space forms ⋮ Isoparametric hypersurfaces of a class of Finsler manifolds induced by navigation problem in Minkowski spaces ⋮ Certain conditions for a Finsler manifold to be isometric with a Finsler sphere

Cites Work

• Isoparametric foliation and Yau conjecture on the first eigenvalue
• On the first eigenvalue of Finsler manifolds with nonnegative weighted Ricci curvature
• Isoparametric functions on Riemannian manifolds. I
• On Finsler geometry of submanifolds
• Bochner-Weitzenböck formula and Li-Yau estimates on Finsler manifolds
• Recent Progress in Isoparametric Functions and Isoparametric Hypersurfaces
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