Natural Operations in Differential Geometry - Couverture rigide

Kolar, Ivan; Michor, Peter W.; Slovak, Jan

9783540562351: Natural Operations in Differential Geometry

Couverture rigide

ISBN 10 : 3540562354 ISBN 13 : 9783540562351

Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1993

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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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteurSpringer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'�dition1993
ISBN 10 3540562354
ISBN 13 9783540562351
ReliureReli�
Langueanglais
Nombre de pages434
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�tat : Assez bon

Zustand: Gut | Seiten: 444 | Sprache...

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Natural Operations in Differential Geometry

Ivan Kolar, Jan Slovak, Peter W. Michor

Edit� par Springer Berlin Heidelberg, 1993

ISBN 10 : 3540562354 ISBN 13 : 9783540562351

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Natural Operations in Differential Geometry

Kolar, Ivan; Michor, Peter W.; Slovak, Jan

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Natural Operations in Differential Geometry

Ivan Kolar

Edit� par Springer Berlin Heidelberg, 1993

ISBN 10 : 3540562354 ISBN 13 : 9783540562351

Neuf Couverture rigide

Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

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Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N� de r�f. du vendeur 9783540562351

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Natural Operations in Differential Geometry

Ivan Kolar

Edit� par Springer Berlin Heidelberg Feb 1993, 1993

ISBN 10 : 3540562354 ISBN 13 : 9783540562351

Neuf Buch

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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne

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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 444 pp. Englisch. N� de r�f. du vendeur 9783540562351

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Natural Operations in Differential Geometry

Ivan Kolar

Edit� par Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 1993, 1993

ISBN 10 : 3540562354 ISBN 13 : 9783540562351

Neuf Buch

Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Buch. Etat : Neu. Neuware -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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 444 pp. Englisch. N� de r�f. du vendeur 9783540562351

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