Opened 15 months ago

Last modified 3 days ago

#30525 new task

SageManifolds metaticket 2 — at Version 52

Reported by: egourgoulhon Owned by:
Priority: major Milestone:
Component: manifolds Keywords: manifold, tensor, differential geometry
Cc: tscrim, mkoeppe, gh-mjungmath, gh-honglizhaobob Merged in:
Authors: see ticket description Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
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Description (last modified by egourgoulhon)

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 operators for sage.manifolds (merged in Sage 9.4.beta5)
  • #30554: Metaticket: Deprecated features
  • #30189: Metaticket: Add examples to manifold catalog
  • #30799: Add folder for manifold examples (merged in Sage 9.3.beta0)
  • #31202: Fix some typos in src/sage/manifolds/ (merged in Sage 9.3.beta9)
  • #31241; Forgetful functors for manifold objects
  • #31704: Remove Python 2 compatibility from manifolds (merged in Sage 9.4.beta2)

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 (merged in Sage 9.3.beta8)
  • #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
  • #30307: Refactor Components into parent & element
  • #31276: Tensor product method for FiniteRankFreeModule
  • #31946: _sympy_ methods for tensor component classes
  • #31991: Metaticket: Efficient numerical computations with tensor trains
  • #31992: FiniteRankFreeModuleMorphism: Add method SVD (singular value decomposition)
  • #32028: Tensor canonicalization
  • #32029: Action of a SymPy TensorSymmetry
  • #32034: Graphical representations of tensors
  • #32318: Generate non-redundant indices of tensors with symmetries efficiently

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
  • #30080: Manifolds with boundary
  • #30232: Coercion/conversion SR to ScalarFieldAlgebra
  • #30310: Immutability of chart functions (merged in Sage 9.3.beta9)
  • #30311: Immutability of scalar fields II (merged in Sage 9.4.beta0)
  • #31243: Stronger categories for manifold examples: connectedness (merged in Sage 9.3.beta7)
  • #31371: Product of manifolds
  • #31654: Equip scalar fields with copy_from method (merged in Sage 9.4.beta1)
  • #31674: Make open subsets of immersed/embedded submanifolds immersed/embedded submanifolds (merged in Sage 9.4.beta1)
  • #31677: Open subsets of arbitrary subsets of manifolds (merged in Sage 9.4.beta1)
  • #31685: ContinuousMap.image: if map is an isomorphism and domain_subset is open, create a submanifold
  • #31703: Sheaves on manifolds
  • #31720: Manifold: Change some methods to generators
  • #31771: Chart.subchart_poset, superchart_poset, Manifold.chart_poset
  • #31854: Pass name and latex_name to copy method in set_restriction (merged in Sage 9.4.beta3)
  • #31883: Refine category of ScalarField (merged in Sage 9.4.beta4)
  • #31894: Refine categories of Chart objects, add method codomain
  • #31901: Chart: Implement pickling via __getstate__/__setstate__
  • #31923: The inverse of the inverse should be self in CoordChange (merged in Sage 9.4.beta4)
  • #32009: Eliminate direct use of the Chart._domain attribute
  • #32102: Chart: Add init argument coord_restrictions, deprecate method add_restrictions
  • #32112: Bug in Chart.__init__ regarding the determination of top charts
  • #32116: Chart._parse_coordinates
  • #32120: Chart-wise assumptions

Manifold subsets

  • #31740 Meta-ticket: Families, posets, complexes of manifold subsets
  • #30263: declare_union yields wrong results
  • #31644: Topological closure of manifold subsets, embedded submanifolds
  • #31653: Images of continuous maps and embedded submanifolds as manifold subsets (merged in Sage 9.4.beta1)
  • #31675: Plotting subsets of real manifolds
  • #31680: Poset of manifold subsets (merged in Sage 9.4.beta3)
  • #31682: Add _test_... methods that check invariants of subset relations
  • #31718: ManifoldSubset: Change some methods to generators (merged in Sage 9.4.beta3)

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 (merged in Sage 9.4.beta0)
  • #30261: Immutability for manifold objects
  • #30272: Mixed forms: set_comp, comp
  • #30284: Immutability of bundle connections (merged in Sage 9.3.rc0)
  • #30495: sage.manifolds: Connect to Pymanopt
  • #30714: Tensor arithmetics on minimal amount of domains
  • #30781: Covariant derivatives along smooth maps
  • #30830: Subintervals of OpenInterval and UniqueRepresentation (merged in Sage 9.3.beta2)
  • #30832: Connect RealSet to sage.manifolds (merged in Sage 9.4.beta4)
  • #31215: Documentation of item assignment behavior for bundle connections (merged in Sage 9.3.beta7)
  • #31249: Grassmann manifolds
  • #31255: Follow up: Mutability of sections and tensor fields (merged in Sage 9.3.beta7)
  • #31273: Remove deprecated form input for bundle connections (merged in Sage 9.3.beta7)
  • #31316: Method subs() ineffective on tensor fields
  • #31323: Make self-diffeomorphisms default (merged in Sage 9.3.beta9)
  • #31324: Circle doesn't have an orientation
  • #31609: Add method tangent_vector() to differentiable manifolds (merged in Sage 9.4.beta1)
  • #31617: Provide 3-sphere with additional features
  • #31633: Simplify VectorField.__call__ (merged in Sage 9.4.beta1)
  • #31658: Speeding-up copy method for tensor fields (merged in Sage 9.4.beta1)
  • #31678: DifferentiableManifold.open_subset: update vector frames and change of frames
  • #31691: Turn mixed form algebra into de Rham complex (and add de Rham cohomology) (merged in Sage 9.4.beta1)
  • #31692: Refactor display behavior of mixed forms (merged in Sage 9.4.beta1)
  • #31706: Immutability for mixed forms
  • #31784: Mixed form name bug for pullback bundle (merged in Sage 9.4.beta2)
  • #31878: Replace OpenInterval, RealLine instances by instances of a subclass of DifferentiableManifold + RealSet
  • #31904: Pullback silently fails in some cases with multiple charts (merged in Sage 9.4.beta4)
  • #32313: Remove deprecated differential forms

Pseudo-Riemannian manifolds

  • #25457: Declaring a metric along with its components
  • #25500: Energy momentum tensor, Einstein tensor and Einstein space-time
  • #30804: Add standard sphere to manifold catalog (merged in Sage 9.3.beta2)
  • #30824: More flexible coordinate treatment for EuclideanSpace
  • #31322: Use ambient metric by default in hodge_dual (merged in Sage 9.3.beta9)
  • #31707: Manifold of piecewise linear functions with k marked breakpoints
  • #31747: Add spherical coordinates with equator-based latitude
  • #31777: manifolds.Sphere: Add barycentric coordinates of spherical triangles / Whitney forms
  • #31781: Unusable metric on spheres from the manifold catalog
  • #31813: Add support for tangent_vector_eval_at for geodesics on manifolds integrated over multiple charts
  • #32228: Move examples from sage.geometry.riemannian_manifolds to sage.manifolds

Poisson manifolds

  • #30362: Add symplectic structures

Complex and almost complex manifolds

  • #18786: almost complex structures through Hodge structures

Change History (52)

comment:1 Changed 15 months ago by egourgoulhon

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