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Natural Operations in Differential Geometry - 9 Angebote vergleichen
Bester Preis: Fr. 59.98 (€ 61.46)¹ (vom 04.02.2018)Natural Operations in Differential Geometry
ISBN: 9783642081491 bzw. 3642081495, in Deutsch, Springer, Berlin, Taschenbuch, neu.
buecher.de GmbH & Co. KG, [1].
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.2010. vi, 434 S. 1 SW-Abb.,. 235 mmVersandfertig in 3-5 Tagen, Softcover.
Natural Operations in Differential Geometry (Paperback) (2010)
ISBN: 9783642081491 bzw. 3642081495, in Deutsch, Springer-Verlag Berlin and Heidelberg GmbH Co. KG, Germany, Taschenbuch, neu, Nachdruck.
Language: English Brand New Book ***** Print on Demand *****.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.
Natural Operations in Differential Geometry
ISBN: 9783642081491 bzw. 3642081495, vermutlich in Englisch, Springer Shop, Taschenbuch, neu.
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. Soft cover.
Natural Operations in Differential Geometry
ISBN: 9783662029503 bzw. 3662029502, vermutlich in Englisch, Springer Shop, neu, E-Book, elektronischer Download.
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. eBook.
Natural Operations in Differential Geometry
ISBN: 9783642081491 bzw. 3642081495, in Englisch, Springer Berlin Heidelberg, Springer Berlin Heidelberg, Springer Berlin Heidelberg, gebraucht.
The literature on natural bundles and natural operators in differential geometry, was until now, scattered in the mathematical journal literature. This book is the first monograph on the subject, collecting this material in a unified presentation. The book begins with an introduction to differential geometry stressing naturality and functionality, and the general theory of connections on arbitrary fibered manifolds. The functional approach to classical natural bundles is extended to a large class of geometrically interesting categories. Several methods of finding all natural operators are given and these are identified for many concrete geometric problems. After reduction each problem to a finite order setting, the remaining discussion is based on properties of jet spaces, and the basic structures from the theory of jets are therefore described here too in a self-contained manner. The relations of these geometric problems to corresponding questions in mathematical physics are brought out in several places in the book, and it closes with a very comprehensive bibliography of over 300 items. This book is a timely addition to literature filling the gap that existed here and will be a standard reference on natural operators for the next few years.
Natural Operations in Differential Geometry (2010)
ISBN: 9783642081491 bzw. 3642081495, in Deutsch, Springer, Taschenbuch, neu.
9783642081491 Paperback, This listing is a new book, a title currently in-print which we order directly and immediately from the publisher.
Natural Operations in Differential Geometry
ISBN: 9783662029503 bzw. 3662029502, in Deutsch, Springer Nature, neu, E-Book.
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