#10132: Differential Geometry via Sage
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Reporter: mikarm | Owner: mhampton
Type: enhancement | Status: needs_work
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):
Replying to [comment:28 mikarm]:
> As for the principal curvatures and the principal directions, of course,
we can compute them using the shape operator. The only reason why I did
not do it in this way, that is I tried to avoid reference to additional
methods and tried to make everything in a direct way. Here we have
dimension two, therefore linear algebra is very straightforward. However,
if we think about generalizations to higher dimensions, surely we need to
use the shape operator.
I will leave the decision to you, but I think that regardless of the
method used, it would be good if the output of the method would be
consistent with other commands in Sage. I'll leave the code to you for
now, and focus on the documentation.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10132#comment:31>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
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