SageManifolds metaticket 2
— at Version 49
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
- #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
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
: No longer use UniqueRepresentation
; implement __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
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)
- #31904: Pullback silently fails in some cases with multiple charts (merged in Sage 9.4.beta4)
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
Poisson manifolds
- #30362: Add symplectic structures
Complex and almost complex manifolds
- #18786: almost complex structures through Hodge structures