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Conformally Flat Riemannian Manifolds as Hypersurfaces of the Light Cone

Published online by Cambridge University Press:  20 November 2018

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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1989

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