Natural Operations in Differential Geometry - Image 1

Price loading...

Springer Natural Operations in Differential Geometry

Name: Natural Operations in Differential Geometry
Brand: Springer

Mechanics

Price History & Forecast

No Price Data Available

Price history will appear here once data is collected from Amazon.

Price Distribution

No price data available for histogram

Description

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.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3540562354
Category: Books > Subjects > Science, Nature & Maths > Engineering & Technology > Civil Engineering > Mechanics
Domain: Amazon UK
Release Date: 04 February 1993
Listed Since: 12 January 2007

Barcode

No barcode data available

Springer Natural Operations in Differential Geometry

Price History & Forecast

No Price Data Available

Price Distribution

Description

Product Specifications

Barcode

Similar Products You Might Like

Natural Operations in Differential Geometry

Fundamentals of Differential Geometry: 191 (Graduate Texts in Mathematics, 191)

Vector Bundles and Their Applications: 447 (Mathematics and Its Applications, 447)

Differential Manifolds

Geometric Properties Of Natural Operators Defined By The Riemann Curvature Tensor

C*-Algebras and Elliptic Operators in Differential Topology: 192 (Translations of Mathematical Monographs)

Spin/pin-structures And Real Enumerative Geometry

From Differential Geometry to Non-commutative Geometry and Topology

Projective Differential Geometry of Submanifolds

Differential Geometry and Lie Groups: A Second Course: 13 (Geometry and Computing, 13)

Geometry of Differential Forms (Translations of Mathematical Monographs (Iwanami Series in Modern Mathematics))

Operator Algebras and Geometry (Translations of Mathematical Monographs): 237

Nonlinear Analysis on Manifolds. Monge-Ampère Equations: 252 (Grundlehren der mathematischen Wissenschaften, 252)

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Differential Geometry: Connections, Curvature, and Characteristic Classes: 275 (Graduate Texts in Mathematics, 275)

Diffeology (Mathematical Surveys and Monographs)

Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical ... and Automation: Science and Engineering, 31)

Vector Bundles on Complex Projective Spaces: 3 (Progress in Mathematics, 3)

Global Differential Geometry of Surfaces

Differential Geometry: Basic Notions and Physical Examples (Mathematical Engineering)

LECTURES ON THE GEOMETRY OF MANIFOLDS (2ND EDITION)

Geometry of Principal Sheaves: 578 (Mathematics and Its Applications, 578)

Differential Sheaves and Connections: A Natural Approach to Physical Geometry (Series on Concrete and Applicable Mathematics): 18

Riemannian Geometry (Universitext)