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Lectures on Geometric Variational Problems (Paperback, Softcover reprint of the original 1st ed. 1996)
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Lectures on Geometric Variational Problems (Paperback, Softcover reprint of the original 1st ed. 1996)
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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."
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