Changes between Version 27 and Version 28 of Ticket #24623


Ignore:
Timestamp:
04/19/18 21:06:08 (19 months ago)
Author:
egourgoulhon
Comment:

Legend:

Unmodified
Added
Removed
Modified
  • Ticket #24623 – Description

    v27 v28  
    11This ticket implements Euclidean spaces as Riemannian manifolds diffeomorphic to '''R'''^n^ and equipped with a flat metric, which defines the Euclidean dot product. Using the operators introduced in #24622, this 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.).
    22
    3 See this [https://ask.sagemath.org/question/40792/div-grad-and-curl-once-again/ ask.sagemath question] for a motivation.
     3See this [https://ask.sagemath.org/question/40792/div-grad-and-curl-once-again/ ask.sagemath question] for a motivation, as well as this [https://ask.sagemath.org/question/41898/ one].
    44
    55The implementation is performed via the parent class `EuclideanSpaceGeneric`, which inherits from `PseudoRiemannianManifold` (introduced in #24622). Two subclasses are devoted to specific cases: