논문KCI 등재
On generalized Ricci-recurrent trans-Sasakian manifolds
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Abstract
Generalized Ricci-recurrent trans-Sasakian manifolds are studied.Among others, it is proved that a generalized Ricci-recurrentcosymplectic manifold is always recurrent. GeneralizedRicci-recurrent trans-Sasakian manifolds of dimension geq 5 arelocally classified. It is also provedthat if M is one of Sasakian, alpha -Sasakian, Kenmotsu or beta %-Kenallowbreak motsu manifolds, which is generalized Ricci-recurrent withcyclic Ricci tensor and non-zero Aleft( xi right) everywhere; then Mis an Einstein manifold.
관련 논문AI추천
On Generalized Recurrent Sasakian ManifoldsQuddus Khan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제2호Ricci Tensor in 3-dimensional Trans-Sasakian manifoldsMukut Mani Tripathi, U. C. De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제2호On Generalized ϕ-Recurrent LP-Sasakian ManifoldsJai Prakash Jaiswal, Ram Hit Ojha경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제4호On the concircular curvature tensor of a contact metric manifoldD.E. Blair, Jeong-Sik Kim, Mukut Mani Tripathi대한수학회 · 대한수학회지2005 · 제42권 제5호On Lorentzian α-Sasakian ManifoldsAhmet Yildiz, Cengizhan Murathan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호Sasakian manifolds with quasi-conformal curvature tensor전재복, Abul Kalam Gazi, Uday Chand De대한수학회 · 대한수학회보2008 · 제45권 제2호
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