国外数学名著系列（续一影印版）59：几何Ⅴ
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作者： （德）奥斯曼 编著
出 版 社： 科学出版社
出版时间： 2009-1-1字数： 343000版次： 1页数： 272印刷时间： 2009/01/01开本： 16开印次： 1纸张： 胶版纸I S B N ： 9787030235022包装： 精装内容简介
The theory of minimal surfaces has expanded in many directions over the past decade or two. This volume gathers in one plate an overview of some of the most exciting developments, presented by five of the leading contributors to those developments. Hirotaka Fujimoto, who obtained the definitive results on the Gauss map of minimal surfaces, reports on Nevanlinna Theory, and Minimal Surfaces,Stefan Hildebrandt provides an up-to-date account of the Platean problem and related boundary-value problems. David Hoffman arid Hermann Karcher describe the wealth of results on embedded surfaces from the past decade, starting with Costa's surface and the subsequent Hoffman-Meeks examples. Finally, Leon Simon covers the PDE aspect of minimal surfaces, with a survey of known results both in the classical case of surfaces and in the higher dimensional case, The book will be very useful as a reference and research guide to graduate students and researchers in mathematics.
目录
Introduction Robert Osserman
Ⅰ. Complete Embedded Minimal Surfaces of Finite Total Curvature David Hoffman and Hermann Karcher
Ⅱ. Nevanlinna Theory and Minimal Surfaces Hirotaka Fujimoto
Ⅲ. Boundary Value Problems for Minimal Surfaces Stefan Hildebrandt
Ⅳ. The Minimal Surface Equation Leon Simon
Author Index
Subject Index