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Conformally flat hypersurfaces with Bianchi-type Guichard net


Reference:

Hertrich-Jeromin, U. and Suyama, Y., 2013. Conformally flat hypersurfaces with Bianchi-type Guichard net. Osaka Journal of Mathematics, 50 (1), pp. 1-30.

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Official URL:

http://projecteuclid.org/euclid.ojm/1364390417

Abstract

We obtain a partial classification result for generic $3$-dimensional conformally flat hypersurfaces in the conformal $4$-sphere: explicit analytic data are obtained for conformally flat hypersurfaces with Bianchi-type canonical Guichard net. This is the first classification result for conformally flat hypersurfaces without additional symmetry. We discuss the curved flat associated family for conformally flat hypersurfaces and show that it descends to an associated family of conformally flat hypersurfaces. The associated family of conformally flat hypersurfaces with Bianchi-type Guichard net is investigated.

Details

Item Type Articles
CreatorsHertrich-Jeromin, U.and Suyama, Y.
DepartmentsFaculty of Science > Mathematical Sciences
RefereedYes
StatusPublished
ID Code26661

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