Conformal mappings of Riemannian manifolds preserving the generalized Einstein tensor

dc.contributor.authorБерезовський, Володимир Євгенійович
dc.date.accessioned2018-02-16T15:41:59Z
dc.date.available2018-02-16T15:41:59Z
dc.date.issued2018
dc.description.abstractWe study conformal mappings preserving the generalized Einstein tensor. We have derived corresponding partial differential equations and their integrability conditions. In addition to the generalized Einstein tensor we got other invariants of the mappings. Also we have proved that orientable compact manifolds equipped by positive definite metric, do not admit conformal mappings preserving the generalized Einstein tensor.uk_UA
dc.identifier.citationCHEREVKO Yevhen, BEREZOVSKI Vladimir, CHEPURNA Olena. Conformal mappings of Riemannian manifolds preserving the generalized Einstein tensor. 17 Conference on Applied Mathematics APLIMAT 2018. Proceedings. P. 224-231uk_UA
dc.identifier.urihttp://lib.udau.edu.ua/handle/123456789/6545
dc.language.isoenuk_UA
dc.publisherSlovak University of Technology in Bratislavauk_UA
dc.subjectaffine connectionuk_UA
dc.subjectRiemannian manifoldsuk_UA
dc.subjectconformal mappingsuk_UA
dc.subjectgeneralized Einstein tensoruk_UA
dc.titleConformal mappings of Riemannian manifolds preserving the generalized Einstein tensoruk_UA
dc.typeСтаттяuk_UA
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