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Semi-invariant submanifolds of $(LCS)_n$-manifold

Mallannara Siddalingappa Siddesha|Channabasappa Shanthappa Bagewadi|Dharmanaik Nirmala
대한수학회 (The Korean Mathematical Society)|2018.10|대한수학회논문집 (Communications of the KMS)|제33권 제4호|pp. 1331-1339

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참고문헌

키워드

semi-invariant submanifold$(LCS)_{n}$-manifoldtotally umbilical and totally geodesicintegrability condition of distribution
주제분류수학

초록

In this paper the decomposition of basic equations of \scalebox{0.99}{$(LCS)_{n}$}-manifolds is carried out into horizontal and vertical projections. Further, we study the integrability of the distributions $D,$ $D\oplus[\xi]$ and $D^{\perp}$ totally geodesic of semi-invariant submanifolds of $(LCS)_{n}$-manifold.

Abstract

In this paper the decomposition of basic equations of \scalebox{0.99}{$(LCS)_{n}$}-manifolds is carried out into horizontal and vertical projections. Further, we study the integrability of the distributions $D,$ $D\oplus[\xi]$ and $D^{\perp}$ totally geodesic of semi-invariant submanifolds of $(LCS)_{n}$-manifold.

참고문헌 (15)

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관련 논문AI추천

Slant Submanifolds of (LCS)n-manifoldsMukesh Kumar Shukla, Rajendra Prasad, Shiv Sharma Shukla경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 제4호Pseudoparallel invariant submanifolds of $(LCS)_n$-manifoldsMEHMET ATCEKEN, Suleyman Dirik, UMIT YILDIRIM강원경기수학회 · 한국수학논문집2020 · 제28권 제2호STUDY OF SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY TRANS-SASAKIAN MANIFOLD ADMITTING A SEMI-SYMMETRIC NON-METRIC CONNECTION전재복, Mobin Ahmad, MOHD. DANISH SIDDIQI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2018 · 제21권 제3호Integrability of Distributions in GCR-lightlike Submanifolds of Inde nite Sasakian ManifoldsRakesh Kumar, Rakesh Kumar Nagaich, Varun Jain경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호INTEGRABILITY OF DISTRIBUTIONS IN GCR-LIGHTLIKE SUBMANIFOLDS OF INDEFINITE KAEHLER MANIFOLDSRakesh Kumar, Rakesh Kumar Nagaich, Sangeet Kumar대한수학회 · 대한수학회논문집2012 · 제27권 제3호ON SEMI-INVARIANT SUBMANIFOLDS OF A NEARLY KENMOTSU MANIFOLD WITH A QUARTER SYMMETRIC NON-METRIC CONNECTION전재복, Mobin Ahmad한국수학교육학회 · 이론수학과 교직수학2011 · 제18권 제1호

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