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Item Details
| Title:
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NATURAL OPERATIONS IN DIFFERENTIAL GEOMETRY
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| By: |
Ivan Kolar, Peter Michor, Jan Slovak |
| Format: |
Paperback |
| List price:
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£74.50 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3642081495 |
| ISBN 13: |
9783642081491 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
1 December, 2010 |
| Edition: |
Softcover reprint of hardcover 1st ed. 1993 |
| Pages: |
434 |
| Synopsis: |
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. |
| Illustrations: |
VI, 434 p. |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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