{"title":"某些曲率张量上的半对称几乎C(α)流形","authors":"Tuğba Mert, M. Atc̣eken, Pakize Uygun","doi":"10.56947/gjom.v14i2.1179","DOIUrl":null,"url":null,"abstract":"In this article, semi-symmetry of almost C(α)-manifold is investigated on some special curvature tensors. First, the behavior of the almost C(α)-manifold is investigated when the special curvature tensors discussed are flat. Then, for these special curvature tensors, the behavior of the manifold in the semi-symmetric condition is observed and for some special curvature tensors, important properties such as the semi-symmetric almost C(α)-manifold being Einstein and η-Einstein manifold are obtained.","PeriodicalId":421614,"journal":{"name":"Gulf Journal of Mathematics","volume":"453 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Semi-symmetric almost C(α)-manifold on some curvature tensors\",\"authors\":\"Tuğba Mert, M. Atc̣eken, Pakize Uygun\",\"doi\":\"10.56947/gjom.v14i2.1179\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, semi-symmetry of almost C(α)-manifold is investigated on some special curvature tensors. First, the behavior of the almost C(α)-manifold is investigated when the special curvature tensors discussed are flat. Then, for these special curvature tensors, the behavior of the manifold in the semi-symmetric condition is observed and for some special curvature tensors, important properties such as the semi-symmetric almost C(α)-manifold being Einstein and η-Einstein manifold are obtained.\",\"PeriodicalId\":421614,\"journal\":{\"name\":\"Gulf Journal of Mathematics\",\"volume\":\"453 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-04-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Gulf Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56947/gjom.v14i2.1179\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Gulf Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56947/gjom.v14i2.1179","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Semi-symmetric almost C(α)-manifold on some curvature tensors
In this article, semi-symmetry of almost C(α)-manifold is investigated on some special curvature tensors. First, the behavior of the almost C(α)-manifold is investigated when the special curvature tensors discussed are flat. Then, for these special curvature tensors, the behavior of the manifold in the semi-symmetric condition is observed and for some special curvature tensors, important properties such as the semi-symmetric almost C(α)-manifold being Einstein and η-Einstein manifold are obtained.