| 書目名稱 | Pfaffian Systems, k-Symplectic Systems | | 編輯 | Azzouz Awane,Michel Goze | | 視頻video | http://file.papertrans.cn/746/745378/745378.mp4 | | 圖書封面 |  | | 描述 | The theory of foliations and contact forms have experienced such great de- velopment recently that it is natural they have implications in the field of mechanics. They form part of the framework of what Jean Dieudonne calls "Elie Cartan‘s great theory ofthe Pfaffian systems", and which even nowa- days is still far from being exhausted. The major reference work is. without any doubt that of Elie Cartan on Pfaffian systems with five variables. In it one discovers there the bases of an algebraic classification of these systems, their methods of reduction, and the highlighting ofthe first fundamental in- variants. This work opens to us, even today, a colossal field of investigation and the mystery of a ternary form containing the differential invariants of the systems with five variables always deligthts anyone who wishes to find out about them. One of the goals of this memorandum is to present this work of Cartan - which was treated even more analytically by Goursat in its lectures on Pfaffian systems - in order to expound the classifications currently known. The theory offoliations and contact forms appear in the study ofcompletely integrable Pfaffian systems of rank one. In each of | | 出版日期 | Book 2000 | | 關(guān)鍵詞 | Grad; algebra; differential geometry; field; lie algebra; manifold | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-015-9526-1 | | isbn_softcover | 978-90-481-5486-9 | | isbn_ebook | 978-94-015-9526-1 | | copyright | Springer Science+Business Media Dordrecht 2000 |
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書目名稱Pfaffian Systems, k-Symplectic Systems被引頻次
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