Opened 2 years ago

Last modified 29 hours ago

#30525 new task

SageManifolds metaticket 2 — at Version 3

Reported by: Eric Gourgoulhon Owned by:
Priority: major Milestone:
Component: manifolds Keywords: manifold, tensor, differential geometry
Cc: Travis Scrimshaw, Matthias Köppe, Michael Jung, Hongli (Bob) Zhao Merged in:
Authors: see ticket description Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
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Description (last modified by Eric Gourgoulhon)

This metaticket collects tickets related to manifolds in Sage 9.3 or higher. For the initial implementation of manifolds in Sage up to version 9.2, see the metaticket 1: #18528.

The works listed here result from the SageManifolds project, developed by the following authors.

Generic

  • #30139: Metaticket about manifold code improvement
  • #30116: Replace __eq__ by _richcmp_ for manifolds
  • #30473: Unicode art for sage.manifolds
  • #30538: Some flake8 cleanup in manifolds

Algebraic part

  • #28813: Enhance symmetry handling for tensors
  • #29099: Extension of admissible indices conventions for tensors with indices
  • #29619: Sparse iterator for tensor components
  • #29820: Compacting the display of tensor product
  • #29796: Parallelization of wedge product
  • #30095: sage.tensor.modules: Add SymPowerFreeModule
  • #30096: sage.tensor.modules: Add backends using TensorFlow Core and PyTorch:
  • #30164: Add category FreeModules (without distinguished basis)
  • #30174: Trivial coercion Modules(QQ)(FiniteRankFreeModule(QQ, 3)) fails
  • #30229: Submodules of TensorFreeModule defined by the symmetries of a Components object
  • #30235: Add construction methods to FiniteRankFreeModule and CombinatorialFreeModule
  • #30241: New implementation class FiniteRankDualFreeModule
  • #30242: Make ExtPowerFreeModule a quotient of TensorFreeModule
  • #30245: FreeModuleAutomorphism should not inherit from FreeModuleTensor
  • #30244: Use _matmul_ operator (@)
  • #30276: Phased permutation groups
  • #30302: Arithmetic on tensor module elements, manifold objects: always return a copy

Topological manifolds

  • #24151: Improve simplifications in calculus on manifolds
  • #24290: Make simplifications in SymPy calculus on manifolds rely on SymPy only
  • #29775: Add a bit of typing to manifold code
  • #30232: Coercion/conversion SR to ScalarFieldAlgebra
  • #30263: declare_union yields wrong results
  • #30310: Immutability of chart functions

Differentiable manifolds

  • #28629: Automorphism fields: remove SR enforcement when computing the inverse
  • #28640: Vector-valued forms:
  • #27492: Bug in parallelized computations involving symbolic functions
  • #29234: Inheritance structure: tensor fields as sections of vector bundles
  • #29581: New algorithm for characteristic classes
  • #30211: Characteristic classes: sequences
  • #30261: Immutability for manifold objects
  • #30272: Mixed forms: set_comp, comp
  • #30275: Replace AssertionError with ValueError when immutable elements are tried to be changed
  • #30320: set_default_frame() too restrictive on parallelizable manifolds
  • #30495: sage.manifolds: Connect to Pymanopt

Pseudo-Riemannian manifolds

  • #25457: Declaring a metric along with its components
  • #25500: Energy momentum tensor, Einstein tensor and Einstein space-time
  • #30189: Add sphere and hyperbolic space permanently
  • #30519: Fix check of orientation in volume form

Poisson manifolds

  • #30362: Add symplectic structures

Complex and almost complex manifolds

  • #18786: almost complex structures through Hodge structures

Change History (3)

comment:1 Changed 2 years ago by Eric Gourgoulhon

Cc: Travis Scrimshaw Matthias Köppe Michael Jung added

comment:2 Changed 2 years ago by Eric Gourgoulhon

Description: modified (diff)

comment:3 Changed 2 years ago by Eric Gourgoulhon

Description: modified (diff)
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