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On Fε 2-planar mappings with function ε of (Pseudo-) Riemannian manifolds

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dc.title On Fε 2-planar mappings with function ε of (Pseudo-) Riemannian manifolds en
dc.contributor.author Chudá, Hana
dc.contributor.author Guseva, Nadezda
dc.contributor.author Peška, Patrik
dc.relation.ispartof Filomat
dc.identifier.issn 0354-5180 OCLC, Ulrich, Sherpa/RoMEO, JCR
dc.date.issued 2017
utb.relation.volume 31
utb.relation.issue 9
dc.citation.spage 2683
dc.citation.epage 2689
dc.type article
dc.language.iso en
dc.publisher University of Nis
dc.identifier.doi 10.2298/FIL1709683C
dc.subject (pseudo-) Riemannian manifolds en
dc.subject F-planar mapping en
dc.subject Fε 2 -planar mapping en
dc.subject PQε -projective mapping en
dc.description.abstract In this paper we study special mappings between n-dimensional (pseudo-) Riemannian manifolds. In 2003 Topalov introduced PQε - projectivity of Riemannian metrics, with constant ε ≠ 0, 1 + n. These mappings were studied later by Matveev and Rosemann and they found that for ε = 0 they are projective. These mappings could be generalized for case, when ε will be a function on manifold. We show that PQε - projective equivalence with ε is a function corresponds to a special case of F-planar mapping, studied by Mikes and Sinyukov (1983) with F = Q. Moreover, the tensor P is derived from the tensor Q and non-zero function ε. We assume that studied mappings will be also F2 - planar (Mikeš 1994). This is the reason, why we suggest to rename PQε mapping as Fε 2. For these mappings we find the fundamental partial differential equations in closed linear Cauchy type form and we obtain new results for initial conditions. © 2017, University of Nis. All rights reserved. en
utb.faculty Faculty of Applied Informatics
dc.identifier.uri http://hdl.handle.net/10563/1007367
utb.identifier.obdid 43877717
utb.identifier.obdid 43877715
utb.identifier.scopus 2-s2.0-85017632017
utb.identifier.wok 000408376500012
utb.source j-scopus
dc.date.accessioned 2017-09-08T12:14:46Z
dc.date.available 2017-09-08T12:14:46Z
dc.description.sponsorship Fac. of Appl. Informatics, T. Bata University in Zlin [CZ.1.07/2.3.00/30.0035]; Palacky University Olomouc [IGA PrF 2014016]
utb.contributor.internalauthor Chudá, Hana
utb.fulltext.affiliation Hana Chudá a, Nadezda Guseva b, Patrik Peška c a Tomas Bata University of Zlin, Faculty of Applied Informatics, Dept. of Math. b Moscow Pedagogical University, Dept. of Geometry c Palacky University Olomouc, Dept. of Algebra and Geometry Email addresses: chuda@fai.utb.cz (Hana Chudá), ngus12@mail.ru (Nadezda Guseva), patrik.peska@upol.cz (Patrik Peška)
utb.fulltext.dates -
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utb.fulltext.sponsorship The paper was supported by project CZ.1.07/2.3.00/30.0035 of Fac. of Appl. Informatics, T. Bata University in Zlín and IGA PrF 2014016 Palacký University Olomouc.
utb.fulltext.projects CZ.1.07/2.3.00/30.0035
utb.fulltext.projects IGA PrF 2014016
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