<?xml version="1.0" encoding="UTF-8"?> <!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Publishing DTD v1.2d1 20170631//EN" "JATS-journalpublishing1.dtd"> <ArticleSet> <Article> <Journal> <PublisherName>ijesm</PublisherName> <JournalTitle>International Journal of Engineering, Science and</JournalTitle> <PISSN>I</PISSN> <EISSN>S</EISSN> <Volume-Issue>Volume 7, Issue 2</Volume-Issue> <PartNumber/> <IssueTopic>Multidisciplinary</IssueTopic> <IssueLanguage>English</IssueLanguage> <Season>February 2018</Season> <SpecialIssue>N</SpecialIssue> <SupplementaryIssue>N</SupplementaryIssue> <IssueOA>Y</IssueOA> <PubDate> <Year>2018</Year> <Month>02</Month> <Day>2</Day> </PubDate> <ArticleType>Engineering, Science and Mathematics</ArticleType> <ArticleTitle>Semi Parallel and Weyl-Semi Parallel Hypersurface of Tachibana Manifold</ArticleTitle> <SubTitle/> <ArticleLanguage>English</ArticleLanguage> <ArticleOA>Y</ArticleOA> <FirstPage>395</FirstPage> <LastPage>403</LastPage> <AuthorList> <Author> <FirstName>Prabhat Narayan</FirstName> <LastName>Singh</LastName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>N</CorrespondingAuthor> <ORCID/> <FirstName>S. K.</FirstName> <LastName>Dubey</LastName> <AuthorLanguage>English</AuthorLanguage> <Affiliation/> <CorrespondingAuthor>Y</CorrespondingAuthor> <ORCID/> </Author> </AuthorList> <DOI/> <Abstract>In this paper, we have studied semi parallel and Weyl semi parallel para-Sasakian hypersurface of a Tachibana manifold. We have prove that para-Sasakian hypersurface of a Tachibana manifold is semi-parallel if and only if it is totally umbilical with negative unit mean curvature. Further we have prove that such a hypersurface is Weyl-semi-parallel if and only if it is either __ampersandsigneta;?Einstein manifold or semi-parallel. Some more results has been studied in this paper.</Abstract> <AbstractLanguage>English</AbstractLanguage> <Keywords/> <URLs> <Abstract>https://ijesm.co.in/ubijournal-v1copy/journals/abstract.php?article_id=4988&title=Semi Parallel and Weyl-Semi Parallel Hypersurface of Tachibana Manifold</Abstract> </URLs> <References> <ReferencesarticleTitle>References</ReferencesarticleTitle> <ReferencesfirstPage>16</ReferencesfirstPage> <ReferenceslastPage>19</ReferenceslastPage> <References>J. Deprez : Semi-parallel surfaces in Euclidean space, J. Geom., 25 (1985), 192-200. [2] J. Deprez : Semi-parallel hypersurfaces, Rend. Sem. Mat. Univers Politech. Torino, 44 (1986), 303-316. [3] and;Uuml; Lumiste : Semi-symmetric submanifolds as the second order envelope of symmetric submanifolds, Proc. Estonian Acad. Sci. Phy. Math., 39 (1990), 1-8. [4] F. Dillen : Semi-parallel hypersurfaces of real space form, Israel J. Math., 75 (1991), 193-202. [5] A. C. Asperti, G. A. Lobos and F. Mercuri : Pseudo-parallel immersion in space forms, Math. Contemp., 17 (1999), 59-70. [6] C. and;Ouml;zgand;uuml;r : Submanifolds satisfying some curvature conditions imposed on the Weyl-tensor, Bull. Austral. Math. Soc., 67 (1) (2003), 95-101. [7] R. S. Mishra : Structures on differentiable manifold and their applications, Chandrama Prakashan, Allahabad, 1984.</References> </References> </Journal> </Article> </ArticleSet>