논문KCI 등재
ON KENMOTSU MANIFOLDS
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참고문헌
주제분류수학
초록
Abstract
The purpose of this paper is to study a Kenmotsu man-ifold which is derived from the almost contact Riemannian mani-fold with some special conditions. In general, we have some rela-tions about semi- symmetric, Ricci semi-symmetric or Weyl semi-symmetric conditions in Riemannian manifolds. In this paper, we partially classify the Kenmotsu manifold and consider the mani-fold admitting a transformation which keeps Riemannian curvature tensor and Ricci tensor invariant.
참고문헌 (9)
- "A class of contact Riemannian manifold", 24, pp.93~103 (1972)
- "Structure theorem on Riemannian spaces satisfyingR", pp.531~582 (1982)
- "Comments on pseudo-symmetry in the sence of R. Deszcz Geom-etry and Topology of submanifolds VI"
- "Some theorems on Ricci recurrent spaces", 27, pp.287~295 (1952)
- "Contact manifolds in Riemannian geometry Lecture Notes in Mathe-matics 509" (1976), Springer-Verlag
- "On a type of Sasakian manifold", 16, pp.23~28 (1990)
- "On a Riemannian space with recurrent conformalcurvature", n.s., pp.348~354 (1967)
- "Invariant submanifolds in Sasakian manifolds", 219, pp.277~290 (1976)
- "Lecture notes on almost contact manifolds" (1967), Tohoku University
관련 논문AI추천
On a Normal Contact Metric ManifoldConstantin Calin, Mihai Ispas경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호A note on transversal hypersurfaces of para-Kenmotsu manifoldsAbdul Haseeb, Laxmi Rathour, Pooja Gupta, Rajendra Prasad장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2023 · 제26권 제1호CERTAIN CURVATURE CONDITIONS IN KENMOTSU MANIFOLDS WITH RESPECT TO THE SEMI-SYMMETRIC METRIC CONNECTIONAbdul Haseeb, Rajendra Prasad대한수학회 · 대한수학회논문집2017 · 제32권 제4호On the concircular curvature tensor of a contact metric manifoldD.E. Blair, Jeong-Sik Kim, Mukut Mani Tripathi대한수학회 · 대한수학회지2005 · 제42권 제5호Certain curvature conditions on 3-dimensional f-Kenmotsu manifoldsAbdul Haseeb, Rajendra Prasad, Vandana장전수학회 · Advanced Studies in Contemporary Mathematics2019 · 제29권 제4호On Lorentzian α-Sasakian ManifoldsAhmet Yildiz, Cengizhan Murathan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호
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