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1. Characterization of totally umbilic hypersurfaces in a space form by circles

Creator:
Adachi, Toshiaki and Maeda, Sadahiro
Format:
bez média and svazek
Type:
model:article and TEXT
Subject:
totally umbilic hypersurfaces, circles, and space forms
Language:
English
Description:
In this paper we characterize totally umbilic hypersurfaces in a space form by a property of the extrinsic shape of circles on hypersurfaces. This characterization corresponds to characterizations of isoparametric hypersurfaces in a space form by properties of the extrinsic shape of geodesics due to Kimura-Maeda.
Rights:
http://creativecommons.org/publicdomain/mark/1.0/ and policy:public