The GetSpace method returns a list of space coordinate variables for a VectorField or OneForm object.

This method is associated with the VectorField and OneForm objects. For more detail, see Overview of the VectorField object, Overview of the OneForm object.

$\mathrm{with}\left(\mathrm{LieAlgebrasOfVectorFields}\right)\:$

$X≔\mathrm{VectorField}\left(y\mathrm{D}\left[x\right]-x\mathrm{D}\left[y\right]\,\mathrm{space}=\left[x\,y\right]\right)$

$X≔y\left(\frac{\ⅆ}{\ⅆx}\right)-x\left(\frac{\ⅆ}{\ⅆy}\right)$

$R≔\mathrm{VectorField}\left(y\mathrm{D}\left[x\right]-x\mathrm{D}\left[y\right]\,\mathrm{space}=\left[x\,y\,z\right]\right)$

$R≔y\left(\frac{\ⅆ}{\ⅆx}\right)-x\left(\frac{\ⅆ}{\ⅆy}\right)$

$\mathrm{GetSpace}\left(X\right)$

$\left[x\,y\right]$

$\mathrm{GetSpace}\left(R\right)$

$\left[x\,y\,z\right]$

$\mathrm{\omega }≔\mathrm{OneForm}\left(\mathrm{components}=\left[1\,x^2\,y^2\right]\,\mathrm{space}=\left[x\,y\,z\right]\right)$

$\mathrm{\omega }≔x^2\mathrm{dy}+y^2\mathrm{dz}+\mathrm{dx}$

$\mathrm{GetSpace}\left(\mathrm{\omega }\right)$

$\left[x\,y\,z\right]$

The GetSpace command was introduced in Maple 2020.

For more information on Maple 2020 changes, see Updates in Maple 2020.