Characterization of totally umbilic hypersurfaces in a space form by circles

Title:

Characterization of totally umbilic hypersurfaces in a space form by circles

Creator:

Adachi, Toshiaki and Maeda, Sadahiro

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c50e04dc-fbbe-4c15-a072-aedc43b946e9
uuid:c50e04dc-fbbe-4c15-a072-aedc43b946e9

Subject:

totally umbilic hypersurfaces, circles, and space forms

Type:

model:article and TEXT

Format:

bez média and svazek

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.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

203-207

Source:

Czechoslovak Mathematical Journal | 2005 Volume:55 | Number:1

Harvested from:

CDK

Metadata only:

false