# Calculus on manifold

1. Nov 5, 2012

### pswongaa

Let $L_{\theta}$ be the line passing through the point $z(\theta)=(\cos\theta,\sin\theta)$ on the unit circle at angle $\theta$ and with slope $\frac{1}{2}\theta$. The mobius band is $M=${$(z,v):z\in S^{1},v\in L_{\theta}$}

my question is , why M is a mobius band?

2. Nov 5, 2012

### micromass

Staff Emeritus
How did you define the Mobius band?