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Article . 1992
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Curvature invariants and symmetric spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1992 Italy Publisher:Nicola Zanichelli Editore, Bologna
Authors: FERRAROTTI, Massimo; Vanhecke L.;

handle: 11583/2504344

Curvature invariants and symmetric spaces

Abstract

The aim of this paper is to show that each irreducible locally symmetric space of dimension \(n\leq 20\) is completely characterized in the class of all Riemannian manifolds (up to a local isometry) by a small number of curvature invariants (involving some quadratic and some cubic invariants). Five invariants are sufficient in the general case, and four invariants are sufficient if \(n\neq 16\). The proof is based on the systematic study of all particular cases.

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Italy
Related Organizations
Keywords

Differential invariants (local theory), geometric objects, Einstein spaces, Differential geometry of symmetric spaces, curvature invariants

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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