If you don't get a problem the first time, check the hint and give it another try. Then hand it in for some partial credit. Any holomorphic function on a compact Riemann surface is constant. A continuous function on a compact space attains its maximum value at some point. I should have translated some of the old-fashioned language of Cohn.
Dihedral angle refers in general to the angle between two planes.
The tangent lines of these 2 curves at P are the intersections of the tangent plane at P with these two planes. Find a nonconstant meromorphic function on the standard torus. Show that there is no biholomorphic map between T and S . Describe all degree 1 holomorphic maps from the standard torus to itself. If yes, find one.