Opened 6 years ago

Last modified 7 weeks ago

#18528 new task

SageManifolds meta-ticket — at Initial Version

Reported by: egourgoulhon Owned by: egourgoulhon
Priority: major Milestone:
Component: geometry Keywords: manifold, tensor, differential geometry
Cc: mbejger, mmancini, tscrim, bpillet, gh-LBrunswic, gh-mjungmath Merged in:
Authors: Eric Gourgoulhon, Michal Bejger, Marco Mancini Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: #18175 Stopgaps:

Description

This is the implementation of manifolds (mostly smooth manifolds at the moment) resulting from the SageManifolds project.

Algebraic part

  • tensors on free modules of finite rank: #15916 (integrated in Sage 6.6)
  • parallelization of tensor computations on free modules of finite rank: #18100

Topological and differential part

  • topological manifolds:
    • basics (charts, subsets): ticket not set yet
    • scalar fields (continuous functions to the base field): ticket not set yet
    • morphisms (continuous maps): ticket not set yet
  • smooth manifolds:
    • basics (charts, subsets): ticket not set yet
    • scalar fields (smooth real-valued functions): ticket not set yet
    • tangent spaces: ticket not set yet
    • morphisms (smooth maps): ticket not set yet
    • submanifolds: ticket not set yet
    • tensor fields: ticket not set yet
    • differential forms: ticket not set yet
    • affine connections: ticket not set yet
  • pseudo-riemannian manifolds:
    • pseudo-riemannian metrics: ticket not set yet

Change History (0)

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