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Hardcover - 9783540562351
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Beschreibung
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.
Details
| Verlag | Springer Berlin |
| Ersterscheinung | 01. Dezember 2010 |
| Maße | 23.5 cm x 15.5 cm |
| Gewicht | 668 Gramm |
| Format | Softcover |
| ISBN-13 | 9783642081491 |
| Seiten | 434 |
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