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Certain semisymmetry properties of $(\kappa,\;\mu)$-contact metric manifolds

Uday Chand De|Jae Bok Jun|Srimayee Samui
대한수학회 (The Korean Mathematical Society)|2016.07|대한수학회보 (Bulletin of the KMS)|제53권 제4호|pp. 1237-1247

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참고문헌

키워드

concircular curvature tensor\($\kappa\mu$)-contact metric manifolds$N(\kappa)$-contact metric manifolds$\eta$-Einstein manifolds
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초록

The object of the present paper is to characterize ($\kappa,\;\mu$)-contact metric manifolds whose concircular curvature tensor satisfies certain semisymmetry conditions. We also verify that the result holds by a concrete example.

Abstract

The object of the present paper is to characterize ($\kappa,\;\mu$)-contact metric manifolds whose concircular curvature tensor satisfies certain semisymmetry conditions. We also verify that the result holds by a concrete example.

참고문헌 (13)

  1. K. Arslan, "Biharmonic submanifolds in 3-dimensional (κ, μ)-manifolds", Int. J. Math. Math. Sci, 2005(22), pp.3575~3586 (2005)
  2. D.E. Blair, "On the concircular curvature tensor of a contact metric manifold", 대한수학회지, 42(5), pp.883~892 (2005), 대한수학회
  3. D. E. Blair, "Contact metric manifold satisfying a nullity condition", Israel J. Math, 91(1-3), pp.189~214 (1995)
  4. U. C. De, "On quasi-conformal curvature tensor of (κ, μ)-contact metric manifold", Math. Rep. (Bucur.), 14(64)(2), pp.115~129 (2012)
  5. S. Ghosh, "On Φ-quasiconformally symmetric (κ, μ)-contact metric mani-folds", Lobachevskii J. Math, 31(4), pp.367~375 (2010)
  6. S. Ghosh, "On a class of (κ, μ)-contact metric manifolds", An. Univ. Oradea Fasc. Mat, 19(1), pp.231~242 (2012)
  7. 전재복, "ON φ-RECURRENT (k, μ)-CONTACT METRIC MANIFOLDS", 대한수학회보, 45(4), pp.689~700 (2008), 대한수학회
  8. W. Kuhnel, "Conformal geometry", pp.105~146 (1988), Braunschweig
  9. C. Ozgur, "Contact metric manifolds with cyclic-parallel Ricci tensor", Differ. Geom. Dyn. Syst, 4(1), pp.21~25 (2002)
  10. B. J. Papantoniou, "Contact Remannian manifolds satisfying R(ξ,X) · R = 0 and ξ ∈(κ, μ)-nullity distribution", Yokohama Math. J, 40(2), pp.149~161 (1993)
  11. S. Tanno, "Ricci curvatures of contact Reimannian manifolds", Tohoku Math. J, 40(3), pp.441~448 (1988)
  12. K. Yano, "Concircular geometry I. Concircular transformations", Proc. Imp. Acad. Tokyo, 16, pp.195~200 (1940)
  13. Ahmet Yildiz, "A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDS", 대한수학회논문집, 27(2), pp.327~339 (2012), 대한수학회

관련 논문AI추천

On N(κ)-Contact Metric Manifolds Satisfying Certain Curvature Conditions전재복, Avik De경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제4호A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDSAhmet Yildiz, Uday Chand De대한수학회 · 대한수학회논문집2012 · 제27권 제2호Certain results on contact metric generalized $(\kappa,\mu)$-space formsAruna Kumara Huchchappa, Devaraja Mallesha Naik, Venkatesha Venkatesha대한수학회 · 대한수학회논문집2019 · 제34권 제4호On generalized quasi-conformal $N(k,\mu )$-manifoldsKanak Kanti Baishya, Partha Roy Chowdhury대한수학회 · 대한수학회논문집2016 · 제31권 제1호ON A CLASS OF GENERALIZED (k, μ)-CONTACT METRIC MANIFOLDSSujit Ghosh, Uday Chand De장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2010 · 제13권 제3호Certain solitons on generalized (Κ, μ) contact metric manifoldsAvijit Sarkar, Pradip Bhakta강원경기수학회 · 한국수학논문집2020 · 제28권 제4호

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