ASKSAGE: Sage Q&A Forum - Latest question feedhttp://ask.sagemath.org/questions/Q&A Forum for SageenCopyright Sage, 2010. Some rights reserved under creative commons license.Sun, 13 May 2018 03:42:57 -0500Curl in 2D Manifoldshttp://ask.sagemath.org/question/42322/curl-in-2d-manifolds/I'm using SageMath 8.2 on a Windows 10 Native with Jupyter Notebook.
I noticed curl is not defined in a 2D manifold, why is that?
E = Manifold(2, 'E', structure='Riemannian')
cartesian.<x,y> = E.chart()
E.metric()[:] = identity_matrix(2)
v = E.vector_field(name='v')
v[:] = [-x, y^2]
cv = v.curl()
cv.display()
ValueError: the curl is not defined in dimension lower than 3
Reference: [The Divergence and Curl of a Vector Field In Two Dimensions ](http://mathonline.wikidot.com/the-divergence-and-curl-of-a-vector-field-in-two-dimensions)
danielvolinskiSun, 13 May 2018 03:42:57 -0500http://ask.sagemath.org/question/42322/