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Sage output is correct: it says that KA is a 2-vector field, not that it is a vector field. A 2-vector field is a tensor field of type (0,2), as you can check:

sage: KA.tensor_type()
(2, 0)

You can also take a look at KA (/\ stands for the wedge product):

sage: KA.display()
-3/2 d/dx/\d/dy - 3 d/dx/\d/dz - 3/2 d/dy/\d/dz

See the multivector field documentation for more details about 2-vector vields.

Sage output is correct: it says that KA is a 2-vector field, not that it is a vector field. A 2-vector field is a tensor field of type (0,2), (2,0), as you can check:

sage: KA.tensor_type()
(2, 0)

You can also take a look at KA (/\ stands for the wedge product):

sage: KA.display()
-3/2 d/dx/\d/dy - 3 d/dx/\d/dz - 3/2 d/dy/\d/dz

See the multivector field documentation for more details about 2-vector vields.

Sage output is correct: it says that KA is a 2-vector field, not that it is a vector field. A 2-vector field is a tensor field of type (2,0), as you can check:

sage: KA.tensor_type()
(2, 0)

You can also take a look at KA (/\ stands for the wedge product):

sage: KA.display()
-3/2 d/dx/\d/dy - 3 d/dx/\d/dz - 3/2 d/dy/\d/dz

See the multivector field documentation for more details about 2-vector vields.fields.