On a class of weakly weighted Einstein metrics

dc.contributor.authorShen, Zhongmin
dc.contributor.authorZhao, Runzhong
dc.contributor.departmentMathematical Sciences, School of Science
dc.date.accessioned2023-12-01T20:48:44Z
dc.date.available2023-12-01T20:48:44Z
dc.date.issued2022-09
dc.description.abstractThe notion of general weighted Ricci curvatures appears naturally in many problems. The N-Ricci curvature and the projective Ricci curvature are just two special ones with totally different geometric meanings. In this paper, we study general weighted Ricci curvatures. We find that Randers metrics of certain isotropic weighted Ricci curvature must have isotropic S-curvature. Then we classify them via their navigation expressions. We also find equations that characterize Randers metrics of almost isotropic weighted Ricci curvature.
dc.eprint.versionFinal published version
dc.identifier.citationShen, Z., & Zhao, R. (2022). On a class of weakly weighted Einstein metrics. International Journal of Mathematics, 33(10n11), 2250068. https://doi.org/10.1142/S0129167X22500689
dc.identifier.urihttps://hdl.handle.net/1805/37263
dc.language.isoen_US
dc.publisherWorld Scientific
dc.relation.isversionof10.1142/S0129167X22500689
dc.relation.journalInternational Journal of Mathematics
dc.rightsAttribution-NonCommercial-ShareAlike 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/4.0/
dc.sourceArXiv
dc.subjectRanders metrics
dc.subjectweighted Ricci curvature
dc.subjectnavigation expression
dc.subjectweighted Einstein metrics
dc.titleOn a class of weakly weighted Einstein metrics
dc.typeArticle
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