Infinitesimal Transformations of Locally Conformal Kähler Manifolds

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dc.contributor.authorCherevko, Yevhencs
dc.contributor.authorBerezovski, Vladimircs
dc.contributor.authorHinterleitner, Irenacs
dc.contributor.authorSmetanová, Danacs
dc.coverage.issue7cs
dc.coverage.volume8cs
dc.date.issued2019-07-24cs
dc.description.abstractThe article is devoted to infinitesimal transformations. We have obtained that LCK-manifolds do not admit nontrivial innitesimal projective transformations. Then we study innitesimal conformal transformations of LCK-manifolds. We have found the expression for the Lie derivative of a Lee form. We have also obtained the system of partial differential equations for the transformations, and explored its integrability conditions. Hence we have got the necessary and sufcient conditions in order that the an LCK-manifold admits a group of conformal motions. We have also calculated the number of parameters which the group depends on. We have proved that a group of conformal motions admitted by an LCK-manifold is isomorphic to a homothetic group admitted by corresponding Kählerian metric. We also established that an isometric group of an LCK-manifold is isomorphic to some subgroup of the homothetic group of the coresponding local Kählerian metric.en
dc.formattextcs
dc.format.extent1-16cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationMathematics. 2019, vol. 8, issue 7, p. 1-16.en
dc.identifier.doi10.3390/math7080658cs
dc.identifier.issn2227-7390cs
dc.identifier.orcid0000-0002-1046-578Xcs
dc.identifier.other158228cs
dc.identifier.scopus35219039100cs
dc.identifier.urihttp://hdl.handle.net/11012/184670
dc.language.isoencs
dc.publisherMDPIcs
dc.relation.ispartofMathematicscs
dc.relation.urihttps://www.mdpi.com/2227-7390/7/8/658cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2227-7390/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectHermitian manifolden
dc.subjectlocally conformal Kähler manifolden
dc.subjectLee formen
dc.subjectdiffeomorphismen
dc.subjectconformal transformationen
dc.subjectLie derivativeen
dc.titleInfinitesimal Transformations of Locally Conformal Kähler Manifoldsen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-158228en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:44:44en
sync.item.modts2025.01.17 18:48:02en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
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