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On N(κ)-Contact Metric Manifolds Satisfying Certain Curvature Conditions

전재복|Avik De
경북대학교 자연과학대학 수학과|2011.12|Kyungpook Mathematical Journal|제51권 제4호|pp. 457-468

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참고문헌

키워드

Sasakian manifoldN(κ)-contact metric manifoldpseudosymmetric manifoldRicci generalized pseudo-symmetric manifold
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초록

We consider pseudo-symmetric and Ricci generalized pseudo-symmetric N(κ)-contact metric manifolds. We also consider N(κ)-contact metric manifolds satisfying the condition S · R = 0 where R and S denote the curvature tensor and the Ricci tensor respectively. Finally we give some examples.

Abstract

We consider pseudo-symmetric and Ricci generalized pseudo-symmetric N(κ)-contact metric manifolds. We also consider N(κ)-contact metric manifolds satisfying the condition S · R = 0 where R and S denote the curvature tensor and the Ricci tensor respectively. Finally we give some examples.

참고문헌 (16)

  1. K. Arslan, "On A certain class of conformally flat manifolds", Bull. Inst. Math.Acad. Sinica, 26, pp.183~199 (1998)
  2. K. Arslan, "On a certain class of hypersurfaces in semi-Euclidean spaces", Soochow J. Math, 25, pp.223~236 (1999)
  3. N. Hashimoto, "Three dimensional conformally flat pseudo-symmetric spaces of constant type", Arch. Math.(Brno), 36, pp.279~286 (2000)
  4. C. Baikoussis, "On a type of contact manifolds", J. Geom, 46(1), pp.1~9 (1993)
  5. M. Belkhelfa, "Symmetry Properties of Sasakian Space Forms", Soochow J. of Math, 31(4), pp.611~616 (2005)
  6. D. E. Blair, "Riemannian geometry of contact and symplectic manifolds", Progress in Mathematics, 통권 : 203 (2002), Birkhauser Boston, Inc.
  7. D.E. Blair, "On the concircular curvature tensor of a contact metric manifold", 대한수학회지, 42(5), pp.883~892 (2005), 대한수학회
  8. D. E. Blair, "Contact metric manifolds satis-fying a nullity condition", Israel J. Math, 91(1), pp.189~214 (1995)
  9. E. Boeckx, "A full classification of contact metric (κ; μ)-spaces", Illinois J. of Math, 44, pp.212~219 (2000)
  10. M.C.Chaki, "On a type of Sasakian manifold", Soochow J. Math, 16(1), pp.23~28 (1990)
  11. R. Deszcz, "On pseudosymmetric spaces", Bull. Belgian Math. Soc., Ser. A, 44, pp.1~34 (1992)
  12. J. Milnor, "Curvature of left invariant metrics on Lie groups", Advances in Mathemat-ics, 21, pp.293~311 (1976)
  13. D. Perrone, "Contact Riemannian manifolds satisfying R(X; ξ)· R = 0", Yokohama Math. J, 39(2), pp.141~149 (1992)
  14. Z. I. Szabo, "Structure theorems on Riemannian spaces satisfying R(X; Y ) · R = 0", The local version, J. Diff. Geom, 17, pp.531~582 (1982)
  15. S. Tanno, "Isometric immersions of Sasakian manifolds in spheres", Kodai Math. J, 21, pp.448~458 (1969)
  16. K. Yano, "Structures on manifolds, Series in Pure Mathematics, 3" (1984), World Scientific Publishing Co

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