Riemann Surfaces

The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions.

Originally published in 1960.

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Autorentext

Lars Valerian Ahlfors & Leo Sario

Inhalt

• Frontmatter,
• Preface,
• Contents,
• Chapter I. Surface Topology,
• Chapter II. Riemann Surfaces,
• Chapter III. Harmonic Functions on Riemann Surfaces,
• Chapter IV. Classification Theory,
• Chapter V. Differentials on Riemann Surfaces,
• Bibliography,
• Index,