An Introduction to Riemann Surfaces

• Main Authors: Napier, Terrence (Author), Ramachandran, Mohan (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 2012.
• Series: Cornerstones
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Global analysis (Mathematics).; Manifolds (Mathematics).; Functions of complex variables.; Several Complex Variables and Analytic Spaces.; Global Analysis and Analysis on Manifolds.; Analysis.

This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the L² -method, a powerful technique used in the theory of several complex variables.  The work features a simple construction of a strictly subharmonic exhaustion function and a related co...