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Möbius geometry for hypersurfaces in S4

Published online by Cambridge University Press:  22 January 2016

Changping Wang
Changping Wang*
Affiliation:
Technische Universität Berlin, Fachbereich Mathematik, MA 8-3 Straße des 17, Juni 136 10623, Berlin
*
Nankai Institute of Mathematics, Nankai University, Tianjin, 300071, P. R. China
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Our purpose in this paper is to study Möbius geometry for those hypersurfaces in S4 which have different principal curvatures at each point. We will give a complete local Möbius invariant system for such hypersurface in S4 which determines the hypersurface up to Möbius transformations. And we will classify the so-called Möbius homogeneous hypersurfaces in S4.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 139 , September 1995 , pp. 1 - 20
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1995

Footnotes

*

Partially supported by the DFG-project “Affine Differential Geometry” at the TU Berlin

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