Let \(f:\mathbb {R}^3\to \mathbb {R}^2\) be the function \(f(x,y,z)=(xy,z)\). Find the pullback form \(f^*(dy\wedge dz+x^2\,dx\wedge dy)\).
Question
Math 6510 • Differentiable Manifolds
Fall 2012 • Question 2
Question
Fall 2012 • Question 2
Let \(f:\mathbb {R}^3\to \mathbb {R}^2\) be the function \(f(x,y,z)=(xy,z)\). Find the pullback form \(f^*(dy\wedge dz+x^2\,dx\wedge dy)\).