Natural Operations in Differential Geometry (Paperback, Softcover reprint of hardcover 1st ed. 1993)

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."

General

Imprint:	Springer-Verlag
Country of origin:	Germany
Release date:	December 2010
First published:	1993
Authors:	Ivan Kolar • Peter W. Michor • Jan Slov ak
Dimensions:	235 x 155 x 22mm (L x W x T)
Format:	Paperback
Pages:	434
Edition:	Softcover reprint of hardcover 1st ed. 1993
ISBN-13:	978-3-642-08149-1
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Differential & Riemannian geometry Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-642-08149-5
Barcode:	9783642081491

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