Fundamental PDE's of the canonical almost geodesic mappings of type $tilde{pi}sb 1$

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F14%3A33151211" target="_blank" >RIV/61989592:15310/14:33151211 - isvavai.cz</a>
Result on the web
<a href="http://math.usm.my/bulletin/pdf/v37n3/v37n3p4.pdf" target="_blank" >http://math.usm.my/bulletin/pdf/v37n3/v37n3p4.pdf</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Fundamental PDE's of the canonical almost geodesic mappings of type $tilde{pi}sb 1$
Original language description
For modelling of various physical processes, geodesic lines and almost geodesic curves serve as a useful tool. Trasformations or mappings between spaces (endowed with the metric or connection) which preserve such curves play an important role in physics,particularly in mechanics, and in geometry as well. Our aim is to continue investigations concerning existence of almost geodesic mappings of manifolds with linear (affine) connection, particularly of the so-called p?1 mappings, i.e. canonical almost geodesic mappings of type p1 according to Sinyukov. First we give necessary and sufficient conditions for existence of p1 mappings of a manifold endowed with a linear connection onto pseudo-Riemannian manifolds. The conditions take the form of a closed system of PDE's of first order of Cauchy type. Further we deduce necessary and sufficient conditions for existence of p1 mappings onto generalized Ricci-symmetric spaces. Our results are generalizations of some previous theorems obtained by
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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Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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