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Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone

Part of: Global differential geometry Classical differential geometry

Published online by Cambridge University Press:  20 November 2018

A. C. Asperti  and
M. Dajczer
A. C. Asperti
Affiliation:
Antonio Carlos Asperti IME - USP C.P. 20570 (Agência Iguatemi) 01498 - São Paulo - Brasil
M. Dajczer
Affiliation:
Marcos Dajczer IMPA Estrada D. Castorina, 110 22460-Rio de Janeiro - Brasil
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Abstract

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Simply connected conformally flat Riemannian manifolds are characterized as hypersurfaces in the light cone of a standard flat Lorentzian space, transversal to its generators. Some applications of this fact are given.

MSC classification

Secondary: 53A30: Conformal differential geometry 53C40: Global submanifolds
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 32 , Issue 3 , 01 September 1989 , pp. 281 - 285
Copyright
Copyright © Canadian Mathematical Society 1989

References

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