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Laguerre isoparametric hypersurfaces in \(\mathbb R^n\) with two distinct non-zero principal curvatures

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Publication:2440502
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DOI10.1007/s10114-013-1517-5zbMath1326.53016OpenAlexW2153279990MaRDI QIDQ2440502

Yu Ping Song

Publication date: 18 March 2014

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-013-1517-5


zbMATH Keywords

isoparametric hypersurfacesLaguerre geometrynon-zero principal curvatures


Mathematics Subject Classification ID

Other special differential geometries (53A40)


Related Items (2)

Möbius curvature, Laguerre curvature and Dupin hypersurface ⋮ Laguerre isoparametric and Dupin hypersurfaces in \(\mathbb {R}^n\)



Cites Work

  • Dupin hypersurfaces
  • Laguerre geometry of hypersurfaces in \({\mathbb R}^n\)
  • Laguerre minimal surfaces in \(\mathbb R^{3}\)
  • Möbius isoparametric hypersurfaces in \(S^{n+1}\) with two distinct principal curvatures
  • Laguerre geometry of surfaces with plane lines of curvature
  • Lorentzian isoparametric hypersurfaces
  • A variational problem for surfaces in Laguerre geometry


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