Conformal Riemannian and Lagrangian Geometry is popular PDF and ePub book, written by Sun-Yung A. Chang in 2002, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Conformal Riemannian and Lagrangian Geometry can be Read Online from any device for your convenience.
Conformal Riemannian and Lagrangian Geometry Book PDF Summary
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 compactificationsof 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 inconnection 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 geometryand geometric analysis.
Detail Book of Conformal Riemannian and Lagrangian Geometry PDF
- Author : Sun-Yung A. Chang
- Release : 01 October 2024
- Publisher : American Mathematical Soc.
- ISBN : 9780821832103
- Genre : Mathematics
- Total Page : 97 pages
- Language : English
- PDF File Size : 7,6 Mb
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