Overview
- Editors:
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Seiki Nishikawa
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Mathematical Institute, Tohoku University, Sendai, Japan
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Richard Schoen
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Department of Mathematics, Stanford University, Stanford, USA
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Table of contents (5 chapters)
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Front Matter
Pages II-VIII
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An Introduction to Geometric Variational Problems
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- Seiki Nishikawa, Richard Schoen
Pages 2-9
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- Seiki Nishikawa, Richard Schoen
Pages 10-29
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- Seiki Nishikawa, Richard Schoen
Pages 30-41
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Theorems on the Regularity and Singularity of Minimal Surfaces and Harmonic Maps
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Back Matter
Pages 151-154
About this book
In this volume are collected notes of lectures delivered at the First In ternational Research Institute of the Mathematical Society of Japan. This conference, held at Tohoku University in July 1993, was devoted to geometry and global analysis. Subsequent to the conference, in answer to popular de mand from the participants, it was decided to publish the notes of the survey lectures. Written by the lecturers themselves, all experts in their respective fields, these notes are here presented in a single volume. It is hoped that they will provide a vivid account of the current research, from the introduc tory level up to and including the most recent results, and will indicate the direction to be taken by future researeh. This compilation begins with Jean-Pierre Bourguignon's notes entitled "An Introduction to Geometric Variational Problems," illustrating the gen eral framework of the field with many examples and providing the reader with a broad view of the current research. Following this, Kenji Fukaya's notes on "Geometry of Gauge Fields" are concerned with gauge theory and its applications to low-dimensional topology, without delving too deeply into technical detail. Special emphasis is placed on explaining the ideas of infi nite dimensional geometry that, in the literature, are often hidden behind rigorous formulations or technical arguments.
Editors and Affiliations
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Mathematical Institute, Tohoku University, Sendai, Japan
Seiki Nishikawa
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Department of Mathematics, Stanford University, Stanford, USA
Richard Schoen
