#10132: Differential Geometry via Sage
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Reporter: mikarm | Owner: mhampton
Type: enhancement | Status: new
Priority: major | Milestone:
Component: geometry | Keywords: differential geometry,
parametrized surface
Author: Mikhail Malakhaltsev | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Comment(by novoselt):
Replying to [comment:4 mikarm]:
> The interoperability between future classes in the differential geometry
is one of the most important point in development. Therefore, it would be
good to have like a coordination center of the differential geometric part
of SAGE, but I do not know how to organize it. Any ideas?
There are some wiki pages maintained, e.g. for graph development or
http://wiki.sagemath.org/combinat
> Also, in my point of view, the natural way to work on differential
geometry in SAGE is to start from elementary differential geometry (curves
and surfaces), then Riemannian geometry, then connections in bundles, etc.
> Though may be it is a long way, what do you think?
It may be useful to consider creating some classes for "generic manifolds"
and then specialize them to curves and surfaces. This can be useful to
ensure uniform interface in the future and have a possibility right from
the start to put "generic methods" into appropriate places. (I am not sure
which ones, but like `is_compact` or maybe chart access can be made
general.)
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10132#comment:5>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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