Timeline for When is the unstable direction map $x\mapsto e^{u}(x)$ injective?
Current License: CC BY-SA 4.0
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| Feb 28, 2021 at 15:24 | comment | added | Adam | @rpotrie Thanks! | |
| Feb 28, 2021 at 15:20 | comment | added | rpotrie | While it is a somewhat artificial condition for general linear cocycles (it is not stable under conjugacy, for instance), it does make sense in some geometric contexts. You may find arxiv.org/abs/2002.07015 and references therein useful. | |
| Feb 28, 2021 at 15:16 | history | edited | YCor | CC BY-SA 4.0 |
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| Feb 28, 2021 at 15:15 | history | edited | Adam | CC BY-SA 4.0 |
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| Feb 28, 2021 at 15:10 | comment | added | Adam | @rpotrie : Sorry, I should have written better my question. Exactly, I want to ask the question for linear cocycles. Could you please explain to me which linear cocycles have such properties? or at least introduce some references. Thanks in advance. | |
| Feb 28, 2021 at 15:07 | history | edited | Adam | CC BY-SA 4.0 |
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| Feb 28, 2021 at 14:42 | comment | added | rpotrie | What do you mean by injective? $x \mapsto E^u(x)$ is a section of a bundle, so for $y\neq x$ belongs to different spaces. However, for certain linear cocycles the question makes sense (e.g. Anosov representations have a property of having some sort of injectivity of the bundles). | |
| Feb 28, 2021 at 13:01 | history | edited | Adam | CC BY-SA 4.0 |
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| Feb 28, 2021 at 12:55 | history | asked | Adam | CC BY-SA 4.0 |