Feature request: Cotangent space #263
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Further information is requested
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Hi @GiulioRomualdi, |
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Agree. I never digged into the cotangent space, and I am just reading about it rapidly. I have a few questions:
Given a group, is the cotangent space unique? As it is the tangent space? Or are there many possible cotangent spaces?
If it is unique, I guess we could add all its functionality, as we did with the Tangent. What would this functionality consist of? Any idea of what functions / operators / objects are needed?
And a side question: what do you use the cotangent space for?
Joan
… On 17 Feb 2023, at 13:03, Jeremie Deray ***@***.***> wrote:
Hi @GiulioRomualdi <https://github.com/GiulioRomualdi>,
There is no plan to add this at the moment but if you'd like to discuss one we can do so. I guess the first step would be to put together some math doc to clarify the topic and set some solid foundations.
cc @joansola <https://github.com/joansola>
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The cotangent space seems essential for control applications, as directional derivatives (cotangent covectors) applied to the potential energy effect d'Alembert's Principle. Please see the right-most terms in Equations 16b and 16c of this paper: https://arxiv.org/abs/1609.02898. |
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Hi @artivis, we are currently your library in our lab. We see that for each Liegroup,
manifexposes the associated tangent space but not the cotangent one.I was wondering if there is a reason why it is not implemented and if there is any possible plan to add it.
cc @RiccardoGrieco
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