Timeline for equation for geodesics of a right invairant Finsler metric on $SU(n)$ which are parallel to a linear affine distribution
Current License: CC BY-SA 3.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 25, 2014 at 17:35 | vote | accept | Benjamin | ||
| Aug 25, 2014 at 17:29 | answer | added | Robert Bryant | timeline score: 1 | |
| Aug 25, 2014 at 16:23 | comment | added | Benjamin | Yes, I am hoping for what you said. I found it really hard to achieve clarity with this question! | |
| Aug 25, 2014 at 0:48 | comment | added | Robert Bryant | So, by 'parallel to an affine linear' distribution, do you mean that you require that the tangent vectors actually lie in a right-invariant subset of the tangent bundle that, at the identity, is an affine subspace of the tangent space at the identity? I'm sorry to be so picky about the language, but I want to be sure that I understand what you mean by affine linear distribution, which, if I am right, is what most people call an affine distribution. | |
| Aug 24, 2014 at 21:58 | comment | added | Benjamin | I meant the former thing. Would they still called be called sub finsler geodesics in the case of an affine linear distribution rather than just a linear distribution? I wasn't sure. | |
| Aug 24, 2014 at 17:59 | comment | added | Robert Bryant | What do you mean by 'the geodesics [that] are parallel to a linear affine distribution on $\mathrm{SU}(n)$'? Do you simply mean the geodesics of a (right-invariant) sub-Finsler structure on $\mathrm{SU}(n)$ or do you really mean the geodesics of a (right-invariant) Finsler structure that happen to have their velocity vectors lie in a given (right-invariant) $k$-plane field on $\mathrm{SU}(n)$? Your question literally asks for the latter curves (of which, there might not be any), but I suspect that you actually want the former (of which there are bound to be plenty). | |
| Aug 23, 2014 at 15:17 | history | edited | Benjamin | CC BY-SA 3.0 |
added 2 characters in body
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| Aug 23, 2014 at 14:16 | history | asked | Benjamin | CC BY-SA 3.0 |