{"title":"r - sasaki流形的伪斜子流形及其性质","authors":"PRASHANT KUMAR SHUKLA, GEETA VERMA, VIRENDRA NATH PATHAK","doi":"10.46939/j.sci.arts-23.3-a16","DOIUrl":null,"url":null,"abstract":"The present paper aims to study pseudo-slant submanifolds of an r-Sasakian manifold and find few results. The integrability conditions of distributions that involve in the definition of pseudo-slant submanifolds of an r-Sasakian manifold are investigated. Finally, the necessary & sufficient condition for a pseudo-slant submanifold of an r-Sasakian manifold to be the pseudo-slant product is obtained successfully.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"37 1","pages":"0"},"PeriodicalIF":0.3000,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"PSEUDO-SLANT SUBMANIFOLDS OF AN R-SASAKIAN MANIFOLD AND THEIR PROPERTIES\",\"authors\":\"PRASHANT KUMAR SHUKLA, GEETA VERMA, VIRENDRA NATH PATHAK\",\"doi\":\"10.46939/j.sci.arts-23.3-a16\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The present paper aims to study pseudo-slant submanifolds of an r-Sasakian manifold and find few results. The integrability conditions of distributions that involve in the definition of pseudo-slant submanifolds of an r-Sasakian manifold are investigated. Finally, the necessary & sufficient condition for a pseudo-slant submanifold of an r-Sasakian manifold to be the pseudo-slant product is obtained successfully.\",\"PeriodicalId\":54169,\"journal\":{\"name\":\"Journal of Science and Arts\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2023-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Science and Arts\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46939/j.sci.arts-23.3-a16\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Science and Arts","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46939/j.sci.arts-23.3-a16","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
PSEUDO-SLANT SUBMANIFOLDS OF AN R-SASAKIAN MANIFOLD AND THEIR PROPERTIES
The present paper aims to study pseudo-slant submanifolds of an r-Sasakian manifold and find few results. The integrability conditions of distributions that involve in the definition of pseudo-slant submanifolds of an r-Sasakian manifold are investigated. Finally, the necessary & sufficient condition for a pseudo-slant submanifold of an r-Sasakian manifold to be the pseudo-slant product is obtained successfully.
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