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Teichmüller Theory in Riemannian Geometry 1992 Edition
Contributor(s): Tromba, Anthony (Author)

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 ISBN: 3764327359     ISBN-13: 9783764327354
Publisher: Birkhauser
OUR PRICE: $61.74  

Binding Type: Paperback
Published: April 1992
Qty:

Click for more in this series: Lectures in Mathematics. Eth Zürich
Additional Information
BISAC Categories:
- Mathematics | Calculus
- Mathematics | Mathematical Analysis
- Mathematics | Geometry - Differential
Dewey: 515.922
LCCN: 92012778
Series: Lectures in Mathematics. Eth Zürich
Physical Information: 0.48" H x 7" W x 10" L (0.89 lbs) 220 pages
Features: Bibliography, Illustrated, Index, Maps
 
Descriptions, Reviews, Etc.
Publisher Description:
These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of our colleagues have encouraged us to publish our approach to the subject in a concise format, easily accessible to a broad mathematical audience. However, it was the invitation by the faculty of the ETH Ziirich to deliver the ETH N achdiplom-Vorlesungen on this material which provided the opportunity for the author to develop our research papers into a format suitable for mathematicians with a modest background in differential geometry. We also hoped it would provide the basis for a graduate course stressing the application of fundamental ideas in geometry. For this opportunity the author wishes to thank Eduard Zehnder and Jiirgen Moser, acting director and director of the Forschungsinstitut fiir Mathematik at the ETH, Gisbert Wiistholz, responsible for the Nachdiplom Vorlesungen and the entire ETH faculty for their support and warm hospitality. This new approach to Teichmiiller theory presented here was undertaken for two reasons. First, it was clear that the classical approach, using the theory of extremal quasi-conformal mappings (in this approach we completely avoid the use of quasi-conformal maps) was not easily applicable to the theory of minimal surfaces, a field of interest of the author over many years. Second, many other active mathematicians, who at various times needed some Teichmiiller theory, have found the classical approach inaccessible to them.
 
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