Quadratic Differentials
A quadratic differential on aRiemann surface is locally represented by a ho lomorphic function element wh ich transforms like the square of a derivative under a conformal change of the parameter. More generally, one also allows for meromorphic function elements; however, in many considerations it i...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg
Springer Berlin Heidelberg
1984, 1984
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| Edition: | 1st ed. 1984 |
| Series: | Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- I. Background Material on Riemann Surfaces
- II. Quadratic Differentials
- III. Local Behaviour of the Trajectories and the ?-Metric
- IV. Trajectory Structure in the Large
- V. The Metric Associated with a Quadratic Differential
- VI. Quadratic Differentials with Closed Trajectories
- VII. Quadratic Differentials of General Type
- References