|
|
|
|
| LEADER |
00000nam a22000005i 4500 |
| 001 |
b3227287 |
| 003 |
MWH |
| 005 |
20191028102130.0 |
| 007 |
cr nn 008mamaa |
| 008 |
130220s1993 gw | s |||| 0|eng d |
| 020 |
|
|
|a 9783662029503
|
| 024 |
7 |
|
|a 10.1007/978-3-662-02950-3
|2 doi
|
| 035 |
|
|
|a (DE-He213)978-3-662-02950-3
|
| 050 |
|
4 |
|a E-Book
|
| 072 |
|
7 |
|a PBMP
|2 bicssc
|
| 072 |
|
7 |
|a MAT012030
|2 bisacsh
|
| 072 |
|
7 |
|a PBMP
|2 thema
|
| 100 |
1 |
|
|a Kolar, Ivan.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 245 |
1 |
0 |
|a Natural Operations in Differential Geometry
|h [electronic resource] /
|c by Ivan Kolar, Peter W. Michor, Jan Slovak.
|
| 250 |
|
|
|a 1st ed. 1993.
|
| 264 |
|
1 |
|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg :
|b Imprint: Springer,
|c 1993.
|
| 300 |
|
|
|a VI, 434 p.
|b online resource.
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 347 |
|
|
|a text file
|b PDF
|2 rda
|
| 490 |
1 |
|
|a Springer eBook Collection
|
| 505 |
0 |
|
|a I. Manifolds and Lie Groups -- II. Differential Forms -- III. Bundles and Connections -- IV. Jets and Natural Bundles -- V. Finite Order Theorems -- VI. Methods for Finding Natural Operators -- VII. Further Applications -- VIII. Product Preserving Functors -- IX. Bundle Functors on Manifolds -- X. Prolongation of Vector Fields and Connections -- XI. General Theory of Lie Derivatives -- XII. Gauge Natural Bundles and Operators -- References -- List of symbols -- Author index.
|
| 520 |
|
|
|a 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.
|
| 590 |
|
|
|a Loaded electronically.
|
| 590 |
|
|
|a Electronic access restricted to members of the Holy Cross Community.
|
| 650 |
|
0 |
|a Differential geometry.
|
| 650 |
|
0 |
|a Quantum computers.
|
| 650 |
|
0 |
|a Spintronics.
|
| 650 |
|
0 |
|a Geometry.
|
| 650 |
|
0 |
|a Quantum physics.
|
| 690 |
|
|
|a Electronic resources (E-books)
|
| 700 |
1 |
|
|a Michor, Peter W.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 700 |
1 |
|
|a Slovak, Jan.
|e author.
|4 aut
|4 http://id.loc.gov/vocabulary/relators/aut
|
| 710 |
2 |
|
|a SpringerLink (Online service)
|
| 773 |
0 |
|
|t Springer eBooks
|
| 830 |
|
0 |
|a Springer eBook Collection.
|
| 856 |
4 |
0 |
|u https://holycross.idm.oclc.org/login?auth=cas&url=https://doi.org/10.1007/978-3-662-02950-3
|3 Click to view e-book
|t 0
|
| 907 |
|
|
|a .b3227287x
|b 04-18-22
|c 02-26-20
|
| 998 |
|
|
|a he
|b 02-26-20
|c m
|d @
|e -
|f eng
|g gw
|h 0
|i 1
|
| 912 |
|
|
|a ZDB-2-SMA
|
| 912 |
|
|
|a ZDB-2-BAE
|
| 950 |
|
|
|a Mathematics and Statistics (Springer-11649)
|
| 902 |
|
|
|a springer purchased ebooks
|
| 903 |
|
|
|a SEB-COLL
|
| 945 |
|
|
|f - -
|g 1
|h 0
|j - -
|k - -
|l he
|o -
|p $0.00
|q -
|r -
|s b
|t 38
|u 0
|v 0
|w 0
|x 0
|y .i21404525
|z 02-26-20
|
| 999 |
f |
f |
|i beddd0d8-afff-58c0-8554-9eff2f60d262
|s 0d22afb7-92b4-55a7-bc0a-0fab743de1f3
|t 0
|
| 952 |
f |
f |
|p Online
|a College of the Holy Cross
|b Main Campus
|c E-Resources
|d Online
|t 0
|e E-Book
|h Library of Congress classification
|i Elec File
|