Natural Operations in Differential Geometry
by Ivan Kolar, Peter W. Michor, Jan Slovak
Publisher: Springer 1993
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.
Download or read it online for free here:
Download link
(2.8MB, PDF)
Similar books
![Book cover: Synthetic Geometry of Manifolds](images/6430.jpg)
by Anders Kock - University of Aarhus
This textbook can be used as a non-technical and geometric gateway to many aspects of differential geometry. The audience of the book is anybody with a reasonable mathematical maturity, who wants to learn some differential geometry.
(11243 views)
![Book cover: Algebraic geometry and projective differential geometry](images/blank.gif)
by Joseph M. Landsberg - arXiv
Homogeneous varieties, Topology and consequences Projective differential invariants, Varieties with degenerate Gauss images, Dual varieties, Linear systems of bounded and constant rank, Secant and tangential varieties, and more.
(16243 views)
![Book cover: Global Theory Of Minimal Surfaces](images/5268.jpg)
by David Hoffman - 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.
(11224 views)
![Book cover: Exterior Differential Systems](images/10947.jpg)
by Robert L. Bryant, et al. - MSRI
An exterior differential system is a system of equations on a manifold defined by equating to zero a number of exterior differential forms. This book gives a treatment of exterior differential systems. It includes both the theory and applications.
(6702 views)