| 書目名稱 | Natural Operations in Differential Geometry | | 編輯 | Ivan Kolá?,Jan Slovák,Peter W. Michor | | 視頻video | http://file.papertrans.cn/662/661873/661873.mp4 | | 圖書封面 |  | | 描述 | The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op- erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M. | | 出版日期 | Book 1993 | | 關(guān)鍵詞 | Category over Manifolds; Jet; Natural Bundle; Natural Operator; differential geometry; manifold; mathemati | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-662-02950-3 | | isbn_softcover | 978-3-642-08149-1 | | isbn_ebook | 978-3-662-02950-3 | | copyright | Springer-Verlag Berlin Heidelberg 1993 |
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