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Seminar on Differential Geometry. (AM-102), Volume 102 (Paperback)
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Seminar on Differential Geometry. (AM-102), Volume 102 (Paperback)
Series: Annals of Mathematics Studies
Expected to ship within 12 - 17 working days
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This collection of papers constitutes a wide-ranging survey of
recent developments in differential geometry and its interactions
with other fields, especially partial differential equations and
mathematical physics. This area of mathematics was the subject of a
special program at the Institute for Advanced Study in Princeton
during the academic year 1979-1980; the papers in this volume were
contributed by the speakers in the sequence of seminars organized
by Shing-Tung Yau for this program. Both survey articles and
articles presenting new results are included. The articles on
differential geometry and partial differential equations include a
general survey article by the editor on the relationship of the two
fields and more specialized articles on topics including harmonic
mappings, isoperimetric and Poincare inequalities, metrics with
specified curvature properties, the Monge-Arnpere equation, L2
harmonic forms and cohomology, manifolds of positive curvature,
isometric embedding, and Kraumlhler manifolds and metrics. The
articles on differential geometry and mathematical physics cover
such topics as renormalization, instantons, gauge fields and the
Yang-Mills equation, nonlinear evolution equations, incompleteness
of space-times, black holes, and quantum gravity. A feature of
special interest is the inclusion of a list of more than one
hundred unsolved research problems compiled by the editor with
comments and bibliographical information.
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