#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 mikarm):
Hi Joris, I am very sorry but at these days I was at a conference, and
when I came back I had exams. That is why I did not response.
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.
This weekend I will try to learn how to use the CVS you told about, then I
will post the other comments.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/10132#comment:28>
Sage <http://www.sagemath.org>
Sage: Creating a Viable Open Source Alternative to Magma, Maple, Mathematica,
and MATLAB
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