Let \(\omega =xdy+dz\) be a 1-form on \(\mathbb {R}^3\). Is the 2-plane field \(\operatorname {Ker}(\omega )\) integrable?
Question
Math 6510 • Differentiable Manifolds
Summer 2016 • Question 6
Question
Summer 2016 • Question 6
Let \(\omega =xdy+dz\) be a 1-form on \(\mathbb {R}^3\). Is the 2-plane field \(\operatorname {Ker}(\omega )\) integrable?