New problems in differential geometry
著者
書誌事項
New problems in differential geometry
（Series on Soviet and East European mathematics, v. 8）
World Scientific, c1993
大学図書館所蔵 件 / 全27件
-
該当する所蔵館はありません
- すべての絞り込み条件を解除する
注記
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
「Nielsen BookData」 より
