Every connected one can be shown to be a manifold of constant curvature -1, 0, or 1. They are used to study sheaves of analytic functions and for the process of analytic continuation. The most trivial case is the complex plane itself. They arise naturally when examining how functions like the logari
Every connected one can be shown to be a manifold of constant curvature -1, 0, or 1. They are used to study sheaves of analytic functions and for the process of analytic continuation. The most trivial case is the complex plane itself. They arise naturally when examining how functions like the logarithm appear to become multi-valued in the complex plane. FTP, what are these eponymous surfaces named for the 19th century German mathematician who also lends his name to a type of sum often seen in introductory calculus classes?
Every connected one can be shown to be a manifold of constant curvature -1, 0, or 1.
Riemann(ian) surface