Smooth Counterexamples to Frame Bundle Freeness

Smooth Counterexamples to Frame Bundle Freeness

We provide counterexamples to P. Olver&#8217;s freeness conjecture for <inline-formula> <math display="inline"> <semantics> <msup> <mi>C</mi> <mo>&#8734;</mo> </msup> </semantics> </math> </inline-formula> acti...

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Bibliographic Details
Main Author: Scot Adams
Format: Article
Language:English
Published: MDPI AG 2019-11-01
Series:Mathematics
Subjects:
prolongation
moving frame
dynamics
Online Access:https://www.mdpi.com/2227-7390/7/11/1058
Description
Summary:We provide counterexamples to P. Olver&#8217;s freeness conjecture for <inline-formula> <math display="inline"> <semantics> <msup> <mi>C</mi> <mo>&#8734;</mo> </msup> </semantics> </math> </inline-formula> actions. In fact, we show that a counterexample exists for any connected real Lie group with noncompact center, as well as for the additive group of the integers.
ISSN:2227-7390

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