Opened 2 years ago

Last modified 21 months ago

#24623 closed enhancement

Euclidean spaces and vector calculus — at Initial Version

Reported by: egourgoulhon Owned by:
Priority: major Milestone: sage-8.3
Component: geometry Keywords: Euclidean space, vector calculus, gradient, divergence, curl, Laplacian
Cc: tmonteil Merged in:
Authors: Eric Gourgoulhon Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: #24622 Stopgaps:

Description

This ticket implements Euclidean spaces as Riemannian manifolds diffeomorphic to Rn and equipped with a flat metric. Using the operators introduced in #24622, it provides the standard operators of vector calculus: dot product, norm, cross product, gradient, divergence, curl and Laplacian, along with the standard coordinate systems (Cartesian, spherical, cylindrical, etc.).

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