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

Kód výsledku v 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>

Výsledek na webu

<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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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

Bulletin of the Malaysian Mathematical Sciences Society

ISSN

0126-6705

e-ISSN

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Svazek periodika

37

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

MY - Malajsie

Počet stran výsledku

13

Strana od-do

647-659

Kód UT WoS článku

000339225300004

EID výsledku v databázi Scopus

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