I am trying to find the Gaussian Curvature of the sphere with equation:
X(theta, phi) = (Rcos(theta)sin(phi) , Rsin(theta)sin(phi) , Rcos(theta)
I have found the coefficients of the first fundamental form:
E = R^2*sin(phi)^2
F = 0
G = R^2
But where should I go from here?
My (very unhelpful!) notes just jump to k = 1/R^2
Thanks for the help!