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Catalogue Information
Field name
Details
Dewey Class
516.36
Title
Lectures on Geometric Variational Problems ([EBook] /) / edited by Seiki Nishikawa, Richard Schoen.
Added Personal Name
Nishikawa, Seiki
editor.
Schoen, Richard
editor.
Other name(s)
SpringerLink (Online service)
Publication
Tokyo : : Springer Japan, , 1996.
Physical Details
VIII, 154 p. : online resource.
ISBN
9784431684022
Summary Note
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.:
Contents note
An Introduction to Geometric Variational Problems) -- I The General Setting -- II A Review of Geometric Variational Problems -- III Symmetry Considerations, Topological Constraints, and Interactions with Physics -- Geometry of Gauge Fields -- Theorems on the Regularity and Singularity of Minimal Surfaces and Harmonic Maps.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-4-431-68402-2
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
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Differential Geometry
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Mathematical analysis
.
Mathematics
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Authors:
Nishikawa, Seiki
.
Schoen, Richard
.
Corporate Authors:
SpringerLink (Online service)
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Classification:
516.36
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