Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm

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Value Distribution theory of the Gauss Map of Minimal Surfaces in Rm

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Edited by Klas Diederich Vol. E 1:

G. Hector/U. Hirsch: Introduction to the Geometry of Foliations, Part A

Vol. E2:

M. Knebusch/ M. Kolster: Wittrings

Vol. E3:

G. Hector/U. Hirsch: Introduction to the Geometry of Foliations, Part B

Vol. E4:

M. Laska: Elliptic Curves of Number Fields with Prescribed Reduction Type (out of print!

Vol. E5:

P. Stiller: Automorphic Forms and the Picard Number of an Elliptic Surface

Vol. E6:

G. Faltings/G. WOstholz et al.: Rational Points*

Vol. E7:

W. Stoll: Value Distribution Theory for Meromorphic Maps

Vol. E8:

W von Wahl: The Equations of Navier-Stokes and Abstract Parabolic Equations (out of print)

A. Howard/ P.-M. Wong (Eds.!: Contributions to Several Complex Variables Vol. E 10: A. J Tromba (Ed.!: Seminar of New Results in Nonlinear Partial Differential Vol. E9:

Equations* Vol. E 11: M. Yoshida: Fuchsian Differential Equations* Vol. E 12: R. Kulkarni, U. Pinkall (Eds.!: Conformal Geometry* Vol. E 13: Y. Andre: G-Functions and Geometry* Vol. E 14: U. Cegrell: Capacities in Complex Analysis Vol. E 15: J-P. Serre: Lectures on the Mordell-Weil Theorem Vol. E 16: K. Iwasaki/H. Kimura/S. Shimomura/M. Yoshida: From Gauss to Painleve Vol. E 17: K. Diederich (Ed.!: Complex Analysis Vol. E18:

W W J Hulsbergen: Conjectures in Arithmetic Algebraic Geometry

Vol. E19:

R. Racke: Lectures on Nonlinear Evolution Equations

Vol. E20:

F. Hirzebruch, Th. Berger, R. Jung: Manifolds and Modular Forms*

Vol. E21:

H. Fujimoto: Value Distribution Theory of the Gauss Map of Minimal Surfaces in Rm

*A Publication of the Max-Planck-Institut fOr Mathematik, Bonn

Volumes of the German-language subseries HAspekte der MathematikHare listed at the end of the book.

Hirotaka Fujimoto

Value Distribution Theory of the Gauss Map of Mininlal Surfaces in Rm

Die Deutsche Bibliothek - CIp· Einheitsaufnahme Fujimoto, Hirotaka: Value distribution of the Gauss map of minimal surfaces in Rm I Hirotaka Fujimoto. - Braunschweig; Wiesbaden: Vieweg, 1993 - (Aspects of mathematics: E; Vol. 21)

ISBN·13: 978·3·322·80273·6

e·ISBN·13: 978·3·322·80271·2

DOl: 10.1007/978·3·322·80271·2 NE: Aspects of mathematics I E

Professor Hirotaka Fujimoto Department of Mathematics Faculty of Science Kanazawa University Marunouchi, Kanazawa, 920 Japan

Mathematics Subject Classification: 53-02, 53AlO, 30·02, 30035

All rights reserved © Friedr. Vieweg & Sohn Verlagsgesellschaft mbH, Braunschweig / Wiesbaden, 1993 Softcover reprint of the hardcover 1st edition 1993

Vieweg is a subsidiary company of the Bertelsmann Publishing Group International.

No part of this publication may be reproduced, stored in a retrieval system or transmitted, mechanical, photocopying or otherwise, without prior permission of the copyright holder.

Cover design: Wolfgang Nieger, Wiesbaden Printed on acid-free paper

ISSN 0179·2156

Preface

These notes are based on lectures given at Instituto de Matematica e Estatistica in Universidade de Sao Paulo