ISSN:
1420-8997
Schlagwort(e):
53 B 25
;
53 C 42
;
53 C 25
;
third fundamental form metric
;
hypersurfaces in nonflat space forms
;
Einstein metric
;
Codazzi tensor
;
isoparametric hypersurfaces
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract For hypersurfaces with regular Weingarten operator in nonflat space forms we study the relations between the intrinsic geometry of the third fundamental form metric and the extrinsic geometry of the hypersurface. We prove a theorema-egregium-type result for this metric and, in particular, give a local classification of hypersurfaces in case of an Einstein structure of this metric.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01228684
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