Typical singularities of differential 1-forms and Pfaffian equations
著者
書誌事項
Typical singularities of differential 1-forms and Pfaffian equations
（Translations of mathematical monographs, v. 113）
American Mathematical Society, c1992
- タイトル別名
-
Типичные особенности дифференциальных 1-форм и уравнений Пфаффа
Tipichnye osobennosti different︠s︡ialʹnykh 1-form i uravneniĭ Pfaffa
大学図書館所蔵 件 / 全44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
Includes bibliographical references (p. 167-170) and indexes
内容説明・目次
内容説明
Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskii presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction.
目次
Main results Basic notions, definitions, notation, and constructions Classification of germs of differential forms Classification of germs of odd-dimensional Pfaffian equations Classification of germs of even-dimensional Pfaffian equations Appendices Local classification of first-order partial differential equations Classification of submanifolds of a contact manifold Feedback equivalence of control systems Analytic classification of differential forms and Pfaffian equations Distributions and differential systems Topological classification of distributions Degenerations of closed $2$-forms in $\mathbb R^2k$.
「Nielsen BookData」 より