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dc.title | Conformally geodesic mappings satisfying a certain initial condition | en |
dc.contributor.author | Chudá, Hana | |
dc.contributor.author | Mikeš, Josef | |
dc.relation.ispartof | Archivum Mathematicum | |
dc.identifier.issn | 0044-8753 Scopus Sources, Sherpa/RoMEO, JCR | |
dc.date.issued | 2011 | |
utb.relation.volume | 47 | |
utb.relation.issue | 5 | |
dc.citation.spage | 389 | |
dc.citation.epage | 394 | |
dc.type | article | |
dc.language.iso | en | |
dc.publisher | Masarykova univerzita | cs |
dc.publisher | Masaryk University | en |
dc.relation.uri | http://www.emis.ams.org/journals/AM/11-5/mikes2011.pdf | |
dc.subject | conformal mappings | en |
dc.subject | conformally geodesic mappings | en |
dc.subject | geodesic mappings | en |
dc.description.abstract | In this paper we study conformally geodesic mappings between pseudo-Riemannian manifolds (M,g) and (M,g), i.e. mappings f:M→M satisfying f = f; 1 o f; 2 o f; 3, where f; 1, f3 are conformal mappings and f; 2 is a geodesic mapping. Suppose that the initial condition f*g = kg is satisfed at a point x; 0 ∈ M and that at this point the conformal Weyl tensor does not vanish. We prove that then f is necessarily conformal. | en |
utb.faculty | Faculty of Applied Informatics | |
dc.identifier.uri | http://hdl.handle.net/10563/1002738 | |
utb.identifier.rivid | RIV/70883521:28140/11:43865674!RIV12-MSM-28140___ | |
utb.identifier.obdid | 43865690 | |
utb.identifier.scopus | 2-s2.0-84856560164 | |
utb.source | j-scopus | |
dc.date.accessioned | 2012-03-12T09:40:01Z | |
dc.date.available | 2012-03-12T09:40:01Z | |
dc.rights | Attribution-NonCommercial-NoDerivs 4.0 Unported | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | |
dc.rights.access | openAccess | |
utb.contributor.internalauthor | Chudá, Hana |