Recent content by rbayadi

  1. R

    Graduate Is the One-Form d \theta Well-Defined at the North and South Pole on a 2-Sphere?

    Thank you.
  2. R

    Graduate Is the One-Form d \theta Well-Defined at the North and South Pole on a 2-Sphere?

    Thanks a lot for the reply. Now I understand what makes S^2 a symplectic manifold. However, the parametrization not being well defined does not necessarily lead to the one-form not being well defined, does it? For example the usual parametrization \theta on S^1 is not well defined...
  3. R

    Graduate Is the One-Form d \theta Well-Defined at the North and South Pole on a 2-Sphere?

    Hi, The 2-sphere is given as example of symplectic manifolds, with a symplectic form \Omega = \sin{\varphi} d \varphi \wedge d \theta. Here the parametrization is given by (x,y,z) = (\cos{\theta}\sin{\varphi}, \sin{\theta}\sin{\varphi}, \cos{\varphi}) with \varphi \in [0,\pi],\ \theta \in...