Lie Groups, Geometric Structures and Differential Equations: 100 Years After Sophus Lie (Advanced Studies in Pure Mathematics) |  | Creators: Kyoto Daigaku Suri Kaiseki Kenkyujo, Tohru Morimoto, Yoichi Miyaoka
Publisher: Mathematical Soc of Japan
Category: Book
Buy New: $162.49
New (1) Used (2) from $162.46
Sales Rank: 7285706
Media: Hardcover
Pages: 493
Shipping Weight (lbs): 2
Dimensions (in): 9 x 6 x 1
ISBN: 4931469213
Dewey Decimal Number: 511
EAN: 9784931469211
Publication Date: June 2002
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Product Description
The blending of algebra, geometry, and differential equations has a long and distinguished history, dating back to the work of Sophus Lie and Elie Cartan. Overviewing the depth of their influence over the past 100 years presents a formidable challenge. A conference was held on the centennial of Lie's death to reflect upon and celebrate his pursuits, later developments, and what the future may hold. This volume showcases the contents, atmosphere, and results of that conference. Of particular importance are two survey articles: Morimoto develops a synthetic study of Lie groups, geometric structures, and differential equations from a unified viewpoint of nilpotent geometry.Yamaguchi and Yatsui discuss the geometry of higher order differential equations of finite type. Contributed research articles cover a wide range of disciplines, from geometry of differential equations, CR-geometry, and differential geometry to topics in mathematical physics. This volume is intended for graduate students studying differential geometry and analyis and advanced graduate students and researchers interested in an overview of the most recent progress in these fields.
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