Conformal, Riemannian, and Lagrangian Geometry. The 2000 Barrett Lectures.

Freire, Alexandre, Sun-Yung Chang and Paul Yang:

ISBN 10: 0821832107 ISBN 13: 9780821832103

Verlag: Providence: American Mathematical Society, 2002

Sprache: Englisch

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Series: University Lecture Series. x 85p small slim paperback, white and navy covers, like new condition, a fresh copy, tight binding, clean and neat pages, text and mathematical notation very clear and sharp, an excellent copy of the volume Language: English Weight (g): 230.

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Bibliografische Details

Titel

Conformal, Riemannian, and Lagrangian Geometry. The 2000 Barrett Lectures.

Verlag

Providence: American Mathematical Society

Erscheinungsjahr

2002

Sprache

Englisch

ISBN-10

0821832107

ISBN-13

9780821832103

Einband

Paperback

Auflage

1. Auflage

Zustand

As New

Verk�uferkataloge

Mathematics

�ber diesen Titel

Inhaltsangabe

Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. ""The 2000 Barrett Lectures"" present the background, context and main techniques of three such lines by means of surveys by leading researchers. The first chapter (by Alice Chang and Paul Yang) introduces new classes of conformal geometric invariants, and then applies powerful techniques in nonlinear differential equations to derive results on compactifications of manifolds and on Yamabe-type variational problems for these invariants. This is followed by Karsten Grove's lectures, which focus on the use of isometric group actions and metric geometry techniques to understand new examples and classification results in Riemannian geometry, especially in connection with positive curvature.The chapter written by Jon Wolfson introduces the emerging field of Lagrangian variational problems, which blends in novel ways the structures of symplectic geometry and the techniques of the modern calculus of variations. The lectures provide an up-do-date overview and an introduction to the research literature in each of their areas. This very readable introduction should prove useful to graduate students and researchers in differential geometry and geometric analysis.

Rese�a del editor

Recent developments in topology and analysis have led to the creation of new lines of investigation in differential geometry. The 2000 Barrett Lectures present the background, context and main techniques of three such lines by means of surveys by leading researchers. The first chapter (by Alice Chang and Paul Yang) introduces new classes of conformal geometric invariants, and then applies powerful techniques in nonlinear differential equations to derive results on compactifications of manifolds and on Yamabe-type variational problems for these invariants. This is followed by Karsten Grove's lectures, which focus on the use of isometric group actions and metric geometry techniques to understand new examples and classification results in Riemannian geometry, especially in connection with positive curvature. The chapter written by Jon Wolfson introduces the emerging field of Lagrangian variational problems, which blends in novel ways the structures of symplectic geometry and the techniques of the modern calculus of variations. The lectures provide an up-do-date overview and an introduction to the research literature in each of their areas. The book is a very enjoyable read, which should prove useful to graduate students and researchers in differential geometry and geometric analysis.

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