Differential systems and isometric embeddings
著者
書誌事項
Differential systems and isometric embeddings
（Annals of mathematics studies, no. 114）
Princeton University Press, 1987
- : cloth
- : paper
- タイトル別名
-
William H. Roever lectures in geometry
大学図書館所蔵 件 / 全71件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
William H. Roever lectures in geometry delivered in January, 1984, at Washington University in St. Louis
Bibliography: p. 213-217
Includes index
内容説明・目次
- 巻冊次
-
: cloth ISBN 9780691084299
内容説明
The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.
- 巻冊次
-
: paper ISBN 9780691084305
内容説明
The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.
目次
*Frontmatter, pg. i*Contents, pg. vii*Preface, pg. ix*Commonly used notation, pg. xi*1. Introduction, pg. 1*2. Structure equations of Xn EN, pg. 14*3. Pfaffian differential systems, pg. 32*4. Quasi-linear Pfaffian differential system, pg. 58*5. The isometric embedding system, pg. 89*6. The characteristic variety, pg. 112*7. Isometric embeddings of space forms, pg. 156*8. Embedding Cauchy-Riemann structures, pg. 194*References, pg. 213*Index, pg. 219
「Nielsen BookData」 より