Opened 3 years ago

Last modified 3 years ago

#28640 new enhancement

Manifolds: Vector Valued Forms

Reported by: gh-DeRhamSource Owned by:
Priority: major Milestone: sage-feature
Component: geometry Keywords:
Cc: egourgoulhon Merged in:
Authors: Michael Jung Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

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Description (last modified by gh-DeRhamSource)

In this ticket, I'd like to introduce vector valued forms with values in a vector bundle by using a generalization of the class sage.tensor.modules.comp.Components allowing its element to be more general elements (in this case differential forms). In a next step, a bundle connection is introduced having these components as coefficients (see: connection matrix).

This is also useful for characteristic class on vector bundles and a corresponding embedding is easily handled.

Since I am really short of time, I'm afraid this ticket have to wait.

Change History (2)

comment:1 Changed 3 years ago by gh-DeRhamSource

  • Description modified (diff)

comment:2 Changed 3 years ago by egourgoulhon

This sounds very interesting. I hope you'll find time to work on this soon.

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