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Is there a built-in way to integrate a vector or differential form field on an embedded submanifold of Euclidean space?

asked 2021-04-07 20:03:54 +0200

perfectly_odd gravatar image

Reasons for asking: I'm doing calculations related to some problems in electromagnetism, and want to be able to compute fluxes, circulations, and similar integrals of vector fields over submanifolds of R^3. Ideally, I'd just define the surface or region of interest, then pass the (existing) field and domain to some built-in function to compute the relevant integral. Does such a thing exist at present?

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answered 2021-04-08 09:55:39 +0200

eric_g gravatar image

Sorry, integration on manifolds is not implemented yet. You are very welcome to contribute to SageMath by implementing it; please visit and

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Again, thanks. I'll take a look at the ticket, but am not incredibly optimistic about my ability to implement this functionality well or generically.

perfectly_odd gravatar imageperfectly_odd ( 2021-04-09 01:33:12 +0200 )edit

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Asked: 2021-04-07 20:03:54 +0200

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Last updated: Apr 08 '21