{"title":"弯曲积流形上的伪射影曲率张量及其在时空中的应用","authors":"Nandan Bhunia, S. Pahan, A. Bhattacharyya","doi":"10.55937/sut/1641859456","DOIUrl":null,"url":null,"abstract":". In this paper we study the pseudo-projective curvature tensor on warped product manifolds. We obtain some signi(cid:12)cant results of the pseudo-projective curvature tensor on warped product manifolds in terms of its base and (cid:12)ber manifolds. Moreover, we derive some interesting results which describe the geometry of base and (cid:12)ber manifolds for a pseudo-projectively (cid:13)at warped product manifold. Lastly, we study the pseudo-projective curvature tensor on generalized Robertson-Walker space-times and standard static space-times.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"29 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2021-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times\",\"authors\":\"Nandan Bhunia, S. Pahan, A. Bhattacharyya\",\"doi\":\"10.55937/sut/1641859456\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". In this paper we study the pseudo-projective curvature tensor on warped product manifolds. We obtain some signi(cid:12)cant results of the pseudo-projective curvature tensor on warped product manifolds in terms of its base and (cid:12)ber manifolds. Moreover, we derive some interesting results which describe the geometry of base and (cid:12)ber manifolds for a pseudo-projectively (cid:13)at warped product manifold. Lastly, we study the pseudo-projective curvature tensor on generalized Robertson-Walker space-times and standard static space-times.\",\"PeriodicalId\":38708,\"journal\":{\"name\":\"SUT Journal of Mathematics\",\"volume\":\"29 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"SUT Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.55937/sut/1641859456\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"SUT Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.55937/sut/1641859456","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
Pseudo-projective curvature tensor on warped product manifolds and its applications in space-times
. In this paper we study the pseudo-projective curvature tensor on warped product manifolds. We obtain some signi(cid:12)cant results of the pseudo-projective curvature tensor on warped product manifolds in terms of its base and (cid:12)ber manifolds. Moreover, we derive some interesting results which describe the geometry of base and (cid:12)ber manifolds for a pseudo-projectively (cid:13)at warped product manifold. Lastly, we study the pseudo-projective curvature tensor on generalized Robertson-Walker space-times and standard static space-times.
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