논문KCI 등재
ON φ-RECURRENT (k, μ)-CONTACT METRIC MANIFOLDS
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In this paper we prove that a φ-recurrent (k, μ)-contact metricmanifold is an η-Einstein manifold with constant coefficients. Next, weprove that a three-dimensional locally φ-recurrent (k, μ)-contact metricmanifold is the space of constant curvature. The existence of φ-recurrent(k, μ)-manifold is proved by a non-trivial example
Abstract
In this paper we prove that a φ-recurrent (k, μ)-contact metricmanifold is an η-Einstein manifold with constant coefficients. Next, weprove that a three-dimensional locally φ-recurrent (k, μ)-contact metricmanifold is the space of constant curvature. The existence of φ-recurrent(k, μ)-manifold is proved by a non-trivial example
참고문헌 (14)
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- U. C. De, "no.2", Novi Sad Journal of Mathematics, 33(2), pp.43~48 (2003)
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- B. J. Papantoniou, "Contact Riemannian manifolds satisfying R(ξ,X)R = 0 and ξ ∈ (k, )-nullity distribution", Yokohama Mathematics Journal, 40(2), pp.149~161 (1993)
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관련 논문AI추천
On a class of generalized recurrent $(k,\mu)$-contact metric manifoldsJay Prakash Singh, Mohan Khatri대한수학회 · 대한수학회논문집2020 · 제35권 제4호ON A CLASS OF GENERALIZED (k, μ)-CONTACT METRIC MANIFOLDSSujit Ghosh, Uday Chand De장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제3호A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDSAhmet Yildiz, Uday Chand De대한수학회 · 대한수학회논문집2012 · 제27권 제2호Certain semisymmetry properties of $(\kappa,\;\mu)$-contact metric manifoldsJae Bok Jun, Srimayee Samui, Uday Chand De대한수학회 · 대한수학회보2016 · 제53권 제4호Paracontact Metric (k; μ )-spaces Satisfying Certain Curvature ConditionsKrishanu Mandal, Uday Chand De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2019 · 제59권 제1호A (k, μ)-CONTACT METRIC MANIFOLD AS AN η–EINSTEIN SOLITONArindam Bhattacharyya, Arup Kumar Mallick강원경기수학회 · 한국수학논문집2024 · 제32권 제2호
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