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G-Manifolds and Stratifications

\(G\)-manifolds and stratifications
Authors: FERRAROTTI, Massimo;

G-Manifolds and Stratifications

Abstract

In the present paper the canonical stratifìcation of G -manifolds and related orbit spaces by means of the notion of "orbit type" is described in detail, included the proof of Whitney regularity. The notion of stratifìcation by "normal orbit type" is considered in this frame as well, showing its relationship with the former one.

Nel presente lavoro viene esposta in dettaglio la stratificazione canonica per·"tipo di orbita" delle G -varietà e dei relativi spazi di orbite compresa la prova della regolarità nel senso di Whitney. In quest'ambito viene pure inserita la stratificazione per "tipo d'orbita normale", mostrandone la relazione con la precedente.

Country
Italy
Keywords

Compact Lie groups of differentiable transformations, smooth \(G\)-spaces, compact Lie group, orbit spaces, stratifications, Stratified sets

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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!
0
Average
Average
Average
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