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Bundle of manifold product

asked 2023-08-17 17:12:26 +0200

ahenkes1 gravatar image

Hi, I am quite new to SageMath and want to use it to help me on my diffgeo journey. I want to dive into fiber bundles but currently am stuck at the very basics: I want to create a bundle (M x N, pr, M) with pr: M x N -> M. For that I need to define two manifolds, which is no problem:

M = Manifold(3, 'M')

N = Manifold(3, 'N')

The total space is:

E = cartesian_product((M, N))

But how do I construct a, e.g., vector bundle E -> M?

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answered 2023-08-18 11:10:19 +0200

eric_g gravatar image

Generic fiber bundles are not implemented in SageMath yet. Only vector bundles are:

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Thank you for the feedback!

ahenkes1 gravatar imageahenkes1 ( 2023-08-18 13:59:50 +0200 )edit

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Asked: 2023-08-17 17:12:26 +0200

Seen: 65 times

Last updated: Aug 18 '23