文档介绍：Grundlehren der
mathematischen Wissenschaften 341
A Series prehensive Studies in Mathematics
Series editors
M. Berger P. de la Harpe F. Hirzebruch
. Hitchin L. Hörmander M. Kashiwara
A. Kupiainen G. Lebeau F.-H. Lin . Ngô
M. Ratner D. Serre . Sinai
. Sloane . Vershik M. Waldschmidt
Editor-in-Chief
A. Chenciner J. Coates . Varadhan
Minimal surfaces with a free boundary. (a) Tongue; (b) Cusp; (c) Loop.
Courtesy of E. Pitts
For further volumes:
ies/138
Ulrich Dierkes Stefan Hildebrandt
Anthony J. Tromba
Global Analysis of
Minimal Surfaces
Revised and enlarged 2nd edition
With 43 Figures and 5 Colour Plates
Ulrich Dierkes Stefan Hildebrandt
Faculty of Mathematics Mathematical Institute
University of Duisburg-Essen University of Bonn
Campus Duisburg Endenicher Allee 60
Forsthausweg 2 53115 Bonn
47057 Duisburg Germany
Germany
ulrich.******@uni-
Anthony J. Tromba
Department of Mathematics
University of California at Santa Cruz
Baskin 261B
CA 95064 Santa Cruz
USA
******@
This volume is the third part of a treatise on Minimal Surfaces in the series Grundlehren der mathe-
matischen Wissenschaften. Part One is Vol. 339 ISBN 978-3-642-11697-1, Part Two is Vol. 340 ISBN
978-3-642-11700-8. A 1st edition of the treatise appeared as Vols. 295 and 296 of the same series.
ISSN 0072-7830
ISBN 978-3-642-11705-3 e-ISBN 978-3-642-11706-0
DOI -3-642-11706-0
Springer Heidelberg Dordrecht London New York
Library of Congress Control Number: 2010930924
Mathematics Subject Classification (2010): 49Q05, 53A05, 53A07, 53B20, 35J20, 35J47, 35J50, 35J75,
49Q20, 30C20, 30F60, 58J05
c Springer-Verlag Berlin Heidelberg 1992, 2010
This work is subject to copyright. All rights are reserved, whether the whole or part of the material is
concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting,
reproduction on microfilm or in any other way, and storage