New Problems In Differential Geometry
Will be published approx. on 1. November 1993
Book
Hardback
192 pages
978-981-02-0819-6 (ISBN)
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.
More details
Series
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
ISBN-13
978-981-02-0819-6 (9789810208196)
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Schweitzer Classification
Person
Content
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.