{"title":"近似C(\\(\\alpha\\))流形上某些特殊曲率张量的表征","authors":"Tuğba Mert","doi":"10.56557/ajomcor/2022/v29i17629","DOIUrl":null,"url":null,"abstract":"In this article, the behavior of the C (\\(\\alpha\\))-manifold satisfying pseudo-symmetric and Ricci pseudosymmetric manifold on the \\(\\sigma\\)1−curvature tensor, \\(\\sigma\\)2−curvature tensor, \\(\\sigma\\)3−curvature tensor, \\(\\sigma\\)4−curvature tensor are investigated. In addition, the atness of these curvature tensors on the C (\\(\\alpha\\))- manifold are investigated and are characterized for each curvature tensor.","PeriodicalId":200824,"journal":{"name":"Asian Journal of Mathematics and Computer Research","volume":"38 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-04-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"CHARACTERIZATION OF SOME SPECIAL CURVATURE TENSOR ON ALMOST C(\\\\(\\\\alpha\\\\))-MANIFOLD\",\"authors\":\"Tuğba Mert\",\"doi\":\"10.56557/ajomcor/2022/v29i17629\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this article, the behavior of the C (\\\\(\\\\alpha\\\\))-manifold satisfying pseudo-symmetric and Ricci pseudosymmetric manifold on the \\\\(\\\\sigma\\\\)1−curvature tensor, \\\\(\\\\sigma\\\\)2−curvature tensor, \\\\(\\\\sigma\\\\)3−curvature tensor, \\\\(\\\\sigma\\\\)4−curvature tensor are investigated. In addition, the atness of these curvature tensors on the C (\\\\(\\\\alpha\\\\))- manifold are investigated and are characterized for each curvature tensor.\",\"PeriodicalId\":200824,\"journal\":{\"name\":\"Asian Journal of Mathematics and Computer Research\",\"volume\":\"38 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-04-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asian Journal of Mathematics and Computer Research\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.56557/ajomcor/2022/v29i17629\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asian Journal of Mathematics and Computer Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.56557/ajomcor/2022/v29i17629","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
CHARACTERIZATION OF SOME SPECIAL CURVATURE TENSOR ON ALMOST C(\(\alpha\))-MANIFOLD
In this article, the behavior of the C (\(\alpha\))-manifold satisfying pseudo-symmetric and Ricci pseudosymmetric manifold on the \(\sigma\)1−curvature tensor, \(\sigma\)2−curvature tensor, \(\sigma\)3−curvature tensor, \(\sigma\)4−curvature tensor are investigated. In addition, the atness of these curvature tensors on the C (\(\alpha\))- manifold are investigated and are characterized for each curvature tensor.
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