Hi,

I already answered on SageManifolds list but I repeat here for people 
interested:
yes it is possible to define a general (i.e. not necessarily Levi-Civita) 
affine connection in SageManifolds; see the examples on the page

http://sagemanifolds.obspm.fr/doc/sagemanifolds/connection.html

Best wishes,

Eric.

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