Laguerre isopararmetric hypersurfaces in ^sup 4

Laguerre isopararmetric hypersurfaces in ^sup 4

Let ... be an umbilical free hypersurface with non-zero principal curvatures. Then ... is associated with a Laguerre metric ... , a Laguerre tensor ... , a Laguerre form ... , and a Laguerre second fundamental form ... which are invariants of ... under Laguerre transformation group. A hypersurface ....

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Veröffentlicht in:Acta mathematica Sinica. English series 2012-06, Vol.28 (6), p.1179
Hauptverfasser: Li, Tong Zhu, Sun, Hua Fei
Format: Artikel
Sprache:eng
Schlagworte:
Eigenvalues
Geometry
Mathematical analysis
Spheres
Studies
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Zusammenfassung:Let ... be an umbilical free hypersurface with non-zero principal curvatures. Then ... is associated with a Laguerre metric ... , a Laguerre tensor ... , a Laguerre form ... , and a Laguerre second fundamental form ... which are invariants of ... under Laguerre transformation group. A hypersurface ... is called Laguerre isoparametric if its Laguerre form vanishes and the eigenvalues of ... , are constant. In this paper, we classify all Laguerre isoparametric hypersurfaces in ... . (ProQuest: ... denotes formulae and non-USASCII text omitted)
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-011-0322-2