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Titlebook: Exterior Differential Systems and Equivalence Problems; Kichoon Yang Book 1992 Springer Science+Business Media Dordrecht 1992 differential

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书目名称Exterior Differential Systems and Equivalence Problems
编辑Kichoon Yang
视频video
丛书名称Mathematics and Its Applications
图书封面Titlebook: Exterior Differential Systems and Equivalence Problems;  Kichoon Yang Book 1992 Springer Science+Business Media Dordrecht 1992 differential
出版日期Book 1992
关键词differential equation; differential geometry; partial differential equation; partial differential equat
版次1
doihttps://doi.org/10.1007/978-94-015-8068-7
isbn_softcover978-90-481-4118-0
isbn_ebook978-94-015-8068-7
copyrightSpringer Science+Business Media Dordrecht 1992
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India and ASEAN in the Indo PacificThe totality of exterior differential forms on an n-dimensional manifold M forms a graded algebra over the ring of smooth functions on M: ..
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In this chapter we give a cursory treatment of abstract G-structures on manifolds thus paving the way to various applications to be followed in Chapter 7. Our exposition throughout this chapter follows [Ko] closely.
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Several applications of exterior differential system theory in differential geometry are given in this chapter. The theme is that of embedding a given G-structure. To be more precise, given an abstract G-structure we wish to find a submanifold f in the model space so that the structure induced by f coincides with the given one.
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Cartan-Kaehler Theory,The Cartan-Kähler theorem depends on the the fundamental existence theorem of Cauchy and Kowalewsky dealing with partial differential equations, and the Cauchy-Kowlewsky theorem uses the power series method. Consequently, Cartan-Kähler theory is a real-analytic and local theory.
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