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On locally Φ-conformally symmetric almost Kenmotsu manifolds with nullity distributions

Uday Chand De|Krishanu Mandal
대한수학회 (The Korean Mathematical Society)|2017.04|대한수학회논문집 (Communications of the KMS)|제32권 제2호|pp. 401-416

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키워드

Einstein manifoldalmost Kenmotsu manifoldgeneralized nullity distributionlocally $\phi$-conformally symmetricnullity distribution
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초록

{The aim of this paper is to investigate locally $\phi$-conformally symmetric almost Kenmotsu manifolds with its characteristic vector field $\xi$ belonging to some nullity distributions. Also, we give an example of a $5$-dimensional almost Kenmotsu manifold such that $\xi$ belongs to the $(k,\mu)'$-nullity distribution and $h'\neq0$.}

Abstract

{The aim of this paper is to investigate locally $\phi$-conformally symmetric almost Kenmotsu manifolds with its characteristic vector field $\xi$ belonging to some nullity distributions. Also, we give an example of a $5$-dimensional almost Kenmotsu manifold such that $\xi$ belongs to the $(k,\mu)'$-nullity distribution and $h'\neq0$.}

참고문헌 (23)

  1. D. E. Blair, "Contact manifold in Riemannian geometry", Lecture Notes on Mathematics, 509 (1976), Springer
  2. D. E. Blair, "Riemannian geometry on contact and symplectic manifolds", Progr. Math., 203 (2010), Birkh¨auser
  3. D. E. Blair, "Contact metric manifolds satisfying a nullity condition", Israel J. Math, 91(1-3), pp.189~214 (1995)
  4. E. Boeckx, "A class of locally Φ-symmetric contact metric spaces", Arch. Math, 72(6), pp.466~472 (1999)
  5. E. Boeckx, "Φ-symmetric contact metric spaces", Glasg. Math. J, 41(3), pp.409~416 (1999)
  6. E. Boeckx, "Locally symmetric contact metric manifolds", Monatsh. Math, 148(4), pp.269~281 (2006)
  7. U. C. De, "On Φ-symmetric Kenmotsu manifolds", Int. Electron. J. Geom, 1(1), pp.33~38 (2008)
  8. U. C. De, "On Φ-recurrent Kenmotsu manifolds", Turk. J. Math, 33(1), pp.17~25 (2009)
  9. U. C. De, "Locally Φ-symmetric normal almost contact metric manifolds of dimension 3", Appl. Math. Letters, 22(5), pp.723~727 (2009)
  10. G. Dileo, "Almost Kenmotsu manifolds and local symmetry", Bull. Belg. Math. Soc. Simon Stevin, 14(2), pp.343~354 (2007)
  11. G. Dileo, "Almost Kenmotsu manifolds and nullity distributions", J. Geom, 93(1-2), pp.46~61 (2009)
  12. G. Dileo, "Almost Kenmotsu manifolds with a condition of Φ-parallelism", Diff. Geom. Appl, 27(5), pp.671~679 (2009)
  13. A. Gray, "Spaces of constancy of curvature operators", Proc. Amer. Math. Soc, 17, pp.897~902 (1966)
  14. K. Kenmotsu, "A class of almost contact Riemannian manifolds", Tohoku Math. J, 24, pp.93~103 (1972)
  15. A. M. Pastore, "Generalized nullity distributions on almost Kenmotsu manifolds", Int. Electron. J. Geom, 4(2), pp.168~183 (2011)
  16. T. Takahashi, "Sasakian Φ-symmetic spaces", Tohoku Math. J, 29(1), pp.91~113 (1977)
  17. S. Tanno, "Some differential equations on Riemannian manifolds", J. Math. Soc. Japan, 30(3), pp.509~531 (1978)
  18. Y. Wang, "Second order parallel tensors on almost Kenmotsu manifolds satisfying the nullity distributions", Filomat, 28(4), pp.839~847 (2014)
  19. Y. Wang, "Riemannian semisymmetric almost Kenmotsu manifolds and nullity distribu-tions", Ann. Polon. Math, 112(1), pp.37~46 (2014)
  20. Y. Wang, "On Φ-recurrent almost Kenmotsu manifolds", Kuwait J. Sci, 42(1), pp.65~77 (2015)
  21. Y. Wang, "On a type of almost Kenmotsu manifolds with harmonic curvature tensors", Bull. Belg. Math. Soc. Simon Stevin, 22(1), pp.15~24 (2015)
  22. Yaning Wang, "On Almost Kenmotsu Manifolds Satisfying Some Nullity Distributions", Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 86(3), pp.347~353 (2016), Springer Nature[DOI]
  23. K. Yano, "Structures on manifolds, vol. 40" (1989), World Scientific Press

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