Hilbert forms for a Finsler metrizable projective class of sprays

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F13%3AA14019Y7" target="_blank" >RIV/61988987:17310/13:A14019Y7 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Hilbert forms for a Finsler metrizable projective class of sprays
Original language description
The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally de?ned) Finsler function. In this paper we use Hilbert-type forms to state a number of di?erent ways of specifying necessary and su?cient conditions for this to be the case, and we show that they are equivalent. We also address several related issues of interest including path spaces, Jacobi ?elds, totally-geodesic submanifolds of a spray space, and the equivalence of path geometries and projective-equivalence classes of sprays.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Global Analysis and the Geometry of Fibred Spaces</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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