Logo

Natural Operations in Differential Geometry

Large book cover: Natural Operations in Differential Geometry

Natural Operations in Differential Geometry
by

Publisher: Springer
ISBN/ASIN: 3540562354
ISBN-13: 9783540562351
Number of pages: 437

Description:
This book tries to be a rather comprehensive textbook on all basic structures from the theory of jets which appear in different branches of differential geometry. 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.

Home page url

Download or read it online for free here:
Download link
(2.8MB, PDF)

Similar books

Book cover: Global Theory Of Minimal SurfacesGlobal Theory Of Minimal Surfaces
by - American Mathematical Society
The wide variety of topics covered make this volume suitable for graduate students and researchers interested in differential geometry. The subjects covered include minimal and constant-mean-curvature submanifolds, Lagrangian geometry, and more.
(10041 views)
Book cover: Notes on Symmetric SpacesNotes on Symmetric Spaces
by - arXiv
Contents: Affine connections and transformations; Symmetric spaces; Orthogonal symmetric Lie algebras; Examples; Noncompact symmetric spaces; Compact semisimple Lie groups; Hermitian symmetric spaces; Classification of real simple Lie algebras.
(8261 views)
Book cover: Functional Differential GeometryFunctional Differential Geometry
by - MIT
Differential geometry is deceptively simple. It is surprisingly easy to get the right answer with informal symbol manipulation. We use computer programs to communicate a precise understanding of the computations in differential geometry.
(10604 views)
Book cover: Geometric Wave EquationsGeometric Wave Equations
by - arXiv
We discuss the solution theory of geometric wave equations as they arise in Lorentzian geometry: for a normally hyperbolic differential operator the existence and uniqueness properties of Green functions and Green operators is discussed.
(9866 views)