Hi;
Could anyone help me to compute the lie derivative of the function
h:R^3-->R with respect to the vector-valued function f:R^5-->R^3 below?
f(x,y,L,u,v) = [x + u;
y + v;
L]
and
h(x,y,L) = sqrt((y-x)^2 + (L)^2)
Thank you in advance.
import sympy as sym
x, y, L, u , v = sym.symbols('x y L u v')
X = sym.Matrix([[x],[y], [L], [u], [v]])
# f(x,y,L,u,v) : R^5-->R^3
f = sym.Matrix([[ x + u], [ y + v ], [L]])
# h(x,y,L) : R^3-->R^1
h = sym.Matrix([[ sym.sqrt(L**2 + (y - x)**2) ]])
# L1hf : first-order lie derivative of h wrt f
L1hf = sym.diffgeom.LieDerivative(f,h) # ???
Enter code here...
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