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Semisymmetric properties of almost coK\"ahler 3-manifolds

서영진|Uday Chand De|Pradip Majhi
대한수학회 (The Korean Mathematical Society)|2019.01|대한수학회보 (Bulletin of the KMS)|제56권 제1호|pp. 219-228|DOI 10.4134/BKMS.b180180

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참고문헌

키워드

almost coK\"ahler manifoldcoK\"ahler manifold$h$-semisymmetric manifold$\phi$-symmetric manifoldsemisymmetric manifold
주제분류수학

초록

In this paper it is proved that on an almost coK\"ahler $3$-manifold $M$, (i) $M$ is $h$-semisymmetric, (ii) the curvature condition $Q\cdot R=0$ and (iii) $M$ is coK\"ahler are equivalent.

Abstract

In this paper it is proved that on an almost coK\"ahler $3$-manifold $M$, (i) $M$ is $h$-semisymmetric, (ii) the curvature condition $Q\cdot R=0$ and (iii) $M$ is coK\"ahler are equivalent.

참고문헌 (17)

  1. D. E. Blair, "The theory of quasi-Sasakian structures", J. Dierential Geometry, 1, pp.331~345 (1967)
  2. D. E. Blair, "Riemannian Geometry of Contact and Symplectic Manifolds" (2010), Birkhauser Boston, Inc.
  3. B. Cappelletti-Montano, "A survey on cosymplectic geometry", Rev. Math. Phys, 25(10), pp.55~ (2013)[DOI]
  4. P. Dacko, "PDEs, submanifolds and ane dierential geometry", pp.211~220 (2005), Polish Acad. Sci. Inst. Math.
  5. K. Erken, "A class of 3-dimensional almost cosymplectic manifolds", Turkish J. Math, 37(5), pp.884~894 (2013)
  6. S. I. Goldberg, "Integrability of almost cosymplectic structures", Pacic J. Math, 31, pp.373~382 (1969)
  7. H. Li, "Topology of co-symplectic", co-Kahler manifolds, 2008, pp.12(4), 527~543
  8. Z. Olszak, "On almost cosymplectic manifolds", Kodai Math. J, 4(2), pp.239~250 (1981)
  9. Z. Olszak, "Locally conformal almost cosymplectic manifolds", Colloq. Math, 57(1), pp.73~87 (1989)
  10. D. Perrone, "Classication of homogeneous almost cosymplectic three-manifolds", Dierential Geom. Appl, 30(1), pp.49~58 (2012)
  11. D. Perrone, "Minimal Reeb vector elds on almost cosymplectic manifolds", Kodai Math. J, 36(2), pp.258~274 (2013)
  12. Z. Szabo, "Structure theorems on Riemannian spaces satisfying R(X, Y )·R = 0. I, The local version", J. Dierential Geom, 17(4), pp.531~582 (1983)
  13. P. Verheyen, "A new intrinsic characterization of hypercylinders in Euclidean spaces", Kyungpook Math. J, 25(1), pp.1~4 (1985)
  14. Y. Wang, "Almost co-Kahler manifolds satisfying some symmetry conditions", Turkish J. Math, 40(4), pp.740~752 (2016)
  15. Y. Wang, "Ricci tensors on three-dimensional almost coKahler manifolds", Kodai Math. J, 39(3), pp.469~483 (2016)
  16. Y. Wang, "Semi-symmetric almost coKahler 3-manifolds", Internat. J. Geom. Methods in Modern Phys, 15, pp.12~ (2018)
  17. Ahmet Yildiz, "A CLASSIFICATION OF (κ, μ)-CONTACT METRIC MANIFOLDS", 대한수학회논문집, 27(2), pp.327~339 (2012), 대한수학회

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