Conformal mappings of Riemannian manifolds preserving the generalized Einstein tensor

dc.contributor.author	Березовський, Володимир Євгенійович
dc.date.accessioned	2018-02-16T15:41:59Z
dc.date.available	2018-02-16T15:41:59Z
dc.date.issued	2018
dc.description.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.	uk_UA
dc.identifier.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	uk_UA
dc.identifier.uri	http://lib.udau.edu.ua/handle/123456789/6545
dc.language.iso	en	uk_UA
dc.publisher	Slovak University of Technology in Bratislava	uk_UA
dc.subject	affine connection	uk_UA
dc.subject	Riemannian manifolds	uk_UA
dc.subject	conformal mappings	uk_UA
dc.subject	generalized Einstein tensor	uk_UA
dc.title	Conformal mappings of Riemannian manifolds preserving the generalized Einstein tensor	uk_UA
dc.type	Стаття	uk_UA

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