Please use this identifier to cite or link to this item: http://lib.udau.edu.ua/handle/123456789/6545
Title: Conformal mappings of Riemannian manifolds preserving the generalized Einstein tensor
Authors: Березовський, Володимир Євгенійович
Keywords: affine connection
Riemannian manifolds
conformal mappings
generalized Einstein tensor
Issue Date: 2018
Publisher: Slovak University of Technology in Bratislava
Citation: CHEREVKO Yevhen, BEREZOVSKI Vladimir, CHEPURNA Olena. Conformal mappings of Riemannian manifolds preserving the generalized Einstein tensor. 17 Conference on Applied Mathematics APLIMAT 2018. Proceedings. P. 224-231
Abstract: We 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.
URI: http://lib.udau.edu.ua/handle/123456789/6545
Appears in Collections:Наукові матеріали кафедри

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