Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
권호 표지
DOI QR코드

DOI QR Code

ON ALMOST ALPHA-COSYMPLECTIC MANIFOLDS WITH SOME NULLITY DISTRIBUTIONS

  • Ozturk, Hakan (Afyon Vocational School, Afyon Kocatepe University)
  • Received : 2018.09.11
  • Accepted : 2018.10.19
  • Published : 2019.06.25
Download PDF
⟨ Previous Next ⟩

Abstract

The object of the paper is to investigate almost alpha-cosymplectic (${\kappa},{\mu},{\nu}$) spaces. Some results on almost alpha-cosymplectic (${\kappa},{\mu},{\nu}$) spaces with certain conditions are obtained. Finally, we give an example on 3-dimensional case.

Keywords

References

  1. D. E. Blair, T. Koufogiorgos, B.J. Papantoniou, Contact metric manifolds satisfying a nullity condition, Israel J. Math. 91 (1995), 189-214 https://doi.org/10.1007/BF02761646
  2. E. Boeckx, A full classification of contact metric (${\kappa},{\mu}$)-spaces, Illinois J. Math. 44(1) (2000), 212-219. https://doi.org/10.1215/ijm/1255984960
  3. G. Dileo, A.M. Pastore, Almost Kenmotsu manifolds with a condition of ${\eta}$-parallelism, Diff. Geo. and its App. 27 (2009), 671-679. https://doi.org/10.1016/j.difgeo.2009.03.007
  4. G. Dileo, A.M. Pastore, Almost Kenmotsu manifolds and nullity distributions, J. Geometry 93 (2009), 46-61. https://doi.org/10.1007/s00022-009-1974-2
  5. H. Ozturk, N. Aktan, C. Murathan, A.T. Vanli, Almost ${\alpha}$-cosymplectic f-manifolds, The J. Alexandru Ioan Cuza Univ. 60 (2014), 211-226. https://doi.org/10.2478/aicu-2013-0030
  6. I. Vaisman, Conformal changes of almost contact metric manifolds, Lecture Notes in Math. 792 (1980), 435-443. https://doi.org/10.1007/BFb0088694
  7. K. Kenmotsu, A class of contact Riemannian manifold, Tohoku Math. J. 24 (1972), 93-103. https://doi.org/10.2748/tmj/1178241594
  8. K. Yano, M. Kon, Structures on Manifolds, Series in Pure Math., Singapore, 1984.
  9. N. Aktan, M. Yildirim, C. Murathan, Almost ${\mathscr{f}}$-Cosymplectic Manifolds, Mediterr. J. Math. 11(2) (2014), 775-787. https://doi.org/10.1007/s00009-013-0329-2
  10. P. Dacko, Z. Olszak, On almost cosymplectic ($-1,{\mu},0$)-spaces, Cent. Eur. J. Math. 3(2) (2005), 318-330. https://doi.org/10.2478/BF02479207
  11. P. Dacko, Z. Olszak, On almost cosymplectic (${\kappa},{\mu},{\nu}$)-spaces, Banach Center Publ. 69 (2005), 211-220.
  12. T. Koufogiorgos, C. Tsichlias, On the existence of a new class of contact metric manifolds, Canad. Math. Bull. 43(4) (2000), 440-447. https://doi.org/10.4153/CMB-2000-052-6
  13. T. Koufogiorgos, M. Markellos, J. Papantoniou, The harmonicity of the reeb vector field on contact metric 3-manifolds, Pasific J. Math. 234(2) (2008), 325-344. https://doi.org/10.2140/pjm.2008.234.325
  14. T.W. Kim, H.K. Pak, Canonical foliations of certain classes of almost contact metric structures, Acta Math. Sinica Eng. Ser. 21(4) (2005), 841-846. https://doi.org/10.1007/s10114-004-0520-2
  15. Z. Olszak, Locally conformal almost cosymplectic manifolds, Coll. Math. 57 (1989), 73-87. https://doi.org/10.4064/cm-57-1-73-87