Are these Riemann Surfaces biholomorphic?
Posted: Sat Oct 08, 2016 12:23 pm
Examine whether the following Riemann Surfaces are biholomorphic :
- $ \mathbb{H} \, / < z \mapsto z + 2 > $ and $ \mathbb{H} \, / < z \mapsto z + 3 > $.
- $ \mathbb{H} \, / < z \mapsto 2z > $ and $ \mathbb{H} \, / < z \mapsto 3z > $.