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Invariants in affine differential geometry

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1990 Italy Publisher:Dipartimento di Matematica e Geoscienze; EUT Edizioni Università di Trieste, Trieste
Authors: Kozlowski, Michael;

handle: 10077/4819

Invariants in affine differential geometry

Abstract

The author obtains the solutions of the Monge-Ampère equation det(Hess \(z)=1\) and proves that, suppose \(x: M\to A_ 3\) is an affine surface with induced Berwald-Blaschke (affine) metric \(G\) such that the affine mean curvature vanishes and that \((M,G)\) is a complete Riemannian space, then the Pick invariant is not bounded from below by a positive constant.

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Italy
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Keywords

affine mean curvature, Affine differential geometry, Monge-Ampère equation, Pick invariant, Berwald-Blaschke metric

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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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