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Item Details
| Title:
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NATURAL OPERATIONS IN DIFFERENTIAL GEOMETRY
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| By: |
Ivan Kolar, Peter W. Michor, Jan Slovak |
| Format: |
Hardback |
| List price:
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£74.99 |
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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: |
3540562354 |
| ISBN 13: |
9783540562351 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
22 January, 1993 |
| Edition: |
1993 ed. |
| Pages: |
434 |
| Description: |
Natural operators and operations are an area of differential geometry closely related to problems in theoretical physics. This monograph provides a unified presentation of the research literature on the subject, and contains a detailed bibliography. |
| 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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