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Jets and contact elements

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F00%3A00000048" target="_blank" >RIV/47813059:19610/00:00000048 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Jets and contact elements

  • Original language description

    The purpose of this research-expository work is to introduce basic concepts of the theory of jets, and to study their general properties. An r-jet of a real function of several real variables at a point is simply the collection of the coefficients of ther-th Taylor polynomial of f at this point. The concept of an r-jet is easily generalized to differentiable mappings of smooth manifolds in terms of charts. The structure of the following manifolds of jets is discussed: (a) higher order differential groups, (b) jets of mappings of a Euclidean space into a manifold, with source at the origin (velocities, regular velocities, higher order frames), (c) manifolds of contact elements (higher order Grassmann prolongations of a manifold), i.e., the quotients ofmanifolds of regular velocities by the differential groups acting on them. (d) jet prolongations of fibered manifolds and fibrations, (e) jet prolongations of Lie groups, Lie group actions, principal and associated bundles.

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BA - General mathematics

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    Z - Vyzkumny zamer (s odkazem do CEZ)

Others

  • Publication year

    2000

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    Proceedings of the Seminar on Differential Geometry

  • ISBN

    ISBN80-7248-104

  • ISSN

  • e-ISSN

  • Number of pages

    48

  • Pages from-to

  • Publisher name

    Slezská Univerzita v Opavě, Opava

  • Place of publication

    Opava, ČR

  • Event location

  • Event date

  • Type of event by nationality

  • UT code for WoS article