New problems in differential geometry
Author(s)
Bibliographic Information
New problems in differential geometry
（Series on Soviet and East European mathematics, v. 8）
World Scientific, c1993
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Note
Includes index
Description and Table of Contents
Description
The main theme of this book is the geometrical interpretation of phenomena taking place in Jet spaces in connection with differential equations. This concise volume caters to all mathematicians who wish to deepen their acquaintance with the mathematics of differential geometry.
Table of Contents
- Part 1 Invariant differentiation: vector fields, trajectories, invariants
- lie differentiation in non-holonomic basis
- the first appendixes. Part 2 Connection in the bundle: translation of fibres
- linear connections, morphism of the bundles with the connections. Part 3 Ordinary differential equations: operator of total differentiation
- lie fields and symmetries of equations
- lighting of surfaces. Part 4 Partial differential equations: general constructions
- characteristics of equations
- Hamilton formalism. Part 5 Open problems: polynomial maps
- iterations of the tangent functor
- geometry of catastrophes.
by "Nielsen BookData"
