#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 jvkersch):

 I've been playing with the worksheet for a little while now and it looks
 really good.  My own interest in using Sage for differential geometry is
 more in the area of symbolic computations (if I never have to manipulate a
 Riemann tensor ever again I will be a happy man), but I think curves and
 surfaces should be developed too and would form an important selling point
 for Sage.

 Some comments:

  * From personal experience, it turns out to be a bit of work to "sagify"
 a python class (make sure that it coerces properly, doctests pass, etc.) I
 could help with that.

  * There is a differential forms class at #9650 that is being merged into
 Sage.  I see that the representation of tensors in your class is very
 similar to the internal representation of forms.  As a long term goal
 (i.e. not for this ticket) it would be good to have interoperability with
 this class and (future) classes for Riemannian geometry in Sage.

-- 
Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10132#comment:3>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica, 
and MATLAB

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