On Fri, Mar 13, 2015 at 5:50 AM, Eric Gourgoulhon
<[email protected]> wrote:
> Hi,
>
> The version 0.7 of SageManifolds has just been released (see the changelog).

Hi,

SageManifolds is now available by default in SageMathCloud for all
projects (restart your project server).   Here's an example Sage
worksheet using SageManifolds:

https://cloud.sagemath.com/projects/4a5f0542-5873-4eed-a85c-a18c706e8bcd/files/support/2015-03-21-175733-sage-manifolds.sagews

Could you guys update the part of the SageManifolds website about
SageMathCloud with the new much easier instructions: "it just works".

 -- William

>
> Numerous internal changes have been performed, resulting in a better
> integration into Sage's parent/element framework. Specifically, here is the
> list of parents in v0.7 of SageManifolds, with the corresponding categories:
>
> 1/ Parents in the algebraic part (ticket: #15916) (cf. the documentation
> TOC):
>     ----------------------------------------
>
> - FiniteRankFreeModule: free module of finite rank over a commutative ring
>   category=Modules(ring)
>   NB: this class differs from Sage's FreeModule or VectorSpace in so far as
> it
>       does not assume any distinguished basis on the free module (see
> comparison)
>
> - TensorFreeModule: tensor product of a free module with itself or its dual
>   category=Modules(ring)
>
> - ExtPowerFreeModule: exterior power of the dual of a free module
>   category=Modules(ring)
>
> - FreeModuleHomset: set of homomorphisms between free modules
>   category: Category of homsets of modules over "ring"
>
> - FreeModuleLinearGroup: general linear group of a free module
>   category=Groups()
>
> 2/ Parents in the differential part (cf. the documentation TOC):
>    -------------------------------------------
>
> - Manifold: differentiable manifold over R
>   category=Sets()
>
> - RealLine: field of real numbers, as a manifold of dimension 1, with a
> canonical coordinate chart
>   category=Sets()
>
> - ManifoldSubset: subset of a differentiable manifold
>   category=Sets(), facade=manifold
>
> - ManifoldOpenSubset: open subset of a differentiable manifold
>   category=Sets(), facade=manifold
>
> - OpenInterval: open real interval, as an open subset of RealLine
>   category=Sets(), facade=manifold
>
> - Submanifold: embedded submanifold of a differentiable manifold
>   category=Sets()
>
> - TangentSpace: vector space tangent to a manifold
>   category=VectorSpaces(SR)
>
> - ManifoldHomset: set of differentiable mappings between two differentiable
> manifolds
>   category: Set of Morphisms from manifold A to manifold B in Category of
> sets
>
> - ManifoldCurveSet: set of differentiable curves in a manifold
>   category: Category of homsets of sets
>
> - ScalarFieldAlgebra: commutative algebra of differentiable functions M -->
> R, where M is a manifold
>   category=CommutativeAlgebras(SR)
>
> - VectorFieldModule: module of vector fields on a manifold
>   category=Modules(scalar_field_algebra)
>
> - VectorFieldFreeModule: free module of vector fields on a parallelizable
> manifold
>   category=Modules(scalar_field_algebra)
>
> - AutomorphismFieldGroup: general linear group of the module of vector
> fields on a manifold
>   category=Groups()
>
> - AutomorphismFieldParalGroup: general linear group of the module of vector
> fields on a parallelizable manifold
>   category=Groups()
>
> - TensorFieldModule: module of tensor fields of a given type (k,l) on a
> manifold
>   category=Modules(scalar_field_algebra)
>
> - TensorFieldFreeModule: free module of tensor fields of a given type (k,l)
> on a parallelizable manifold
>   category=Modules(scalar_field_algebra)
>
> - DiffFormModule: module of differential forms of a given degree on a
> manifold
>   category=Modules(scalar_field_algebra)
>
> - DiffFormFreeModule: free module of differential forms of a given degree on
> a parallelizable manifold
>   category=Modules(scalar_field_algebra)
>
>
> Regarding the submission to trac, the algebraic part (ticket #15916) is
> under review, while the ticket for the differential part (#14865) must be
> reorganized (probably split in smaller tickets...).
>
> Needless to say, any comment / suggestion is welcome.
>
> Eric.
>
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-- 
William (http://wstein.org)

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