**Advanced Studies in Pure Mathematics**

Volume: 37;
2002;
493 pp;
Hardcover

MSC: Primary 58;
Secondary 22; 32; 35; 53

**Print ISBN: 978-4-931469-21-1
Product Code: ASPM/37**

List Price: $110.00

Individual Member Price: $88.00

# Lie Groups, Geometric Structures and Differential Equations—One Hundred Years After Sophus Lie

Share this page *Edited by *
*Tohru Morimoto; Hajime Sato; Keizo Yamaguchi*

A publication of the Mathematical Society of Japan

The blending of algebra, geometry, and differential equations has a long and
distinguished history, dating back to the work of Sophus Lie and Élie
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.

Published for the Mathematical Society of Japan by Kinokuniya, Tokyo, and distributed worldwide, except in Japan, by the AMS.

Volumes in this series are freely available electronically 5 years post-publication.

#### Readership

Graduate students studying differential geometry and advanced graduate students and researchers interested in overviewing the most recent progress in these fields.