Dear community,
at this stage, the pushforward of a differentiable map '\Phi' is noted by 
'\Phi^*'.

After some discussion with my collegues and consulting common literature 
(like "Smooth Manifolds" by Lee), this seems not to be the canonical 
notation.

I've already opened a ticket <https://trac.sagemath.org/ticket/28600>for it 
without considering a discussion in here, before (sorry).

Greetings
Michael

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