On Almost Alpha Kenmotsu (k,u)-Spaces

Authors

  • Hakan Öztürk Afyon Kocatepe University
  • S. Öztürk Afyon Kocatepe University

DOI:

https://doi.org/10.24297/jam.v14i2.7662

Keywords:

Almost Kenmotsu manifold, Almost alpha Kenmotsu manifold, (k,u)-spaces

Abstract

In this paper, the geometry of almost alpha Kenmotsu (k,u)-spaces are studied. Finally, we give an illustrative example on almost alpha Kenmotsu (k,u)-space of dimension .

Downloads

Download data is not yet available.

Author Biographies

  • Hakan Öztürk, Afyon Kocatepe University

    Afyon Kocatepe University, Afyon Vocational School, Campus of ANS

  • S. Öztürk, Afyon Kocatepe University

    Afyon Kocatepe University, Faculty of Art and Science, Department of Mathematics

References

Blair, D., Contact manifolds in Riemannian Geometry, Lecture Notes in Math. Springer-Verlag, Berlin-Heidelberg-New York, 509 (1976).

Blair D. E., Koufogiorgos T. and Papantoniou B. J. Contact metric manifolds satisfying a nullity condition, Israel J. Math., 91(1) (1995), 189-214.

Boeckx E., A full classification of contact metric (k,u)-spaces, Illinois J. Math., 44(1) (2000), 212-219.

Dacko P. and Olszak Z., On almost cosymplectic (k,u,v)-spaces, Banach Center Publ., 69 (2005), 211-220.

Dacko P. and Olszak Z., On almost cosymplectic (-1,u,0)-spaces, Cent. Eur. J. Math. 3(2) (2005), 318-330.

Dileo G. and Pastore A. M., Almost Kenmotsu Manifolds and Nullity Distributions, J. Geom. 93 (2009), 46-61.

Dileo G. and Pastore A. M., Almost Kenmotsu manifolds with a condition of n-parallelism, Differential Geometry and its Applications, 27 (2009), 671-679.

Kenmotsu, K., A class of contact Riemannian manifold, Tohoku Math. J. 24 (1972), 93-103.

Kim, T.W, Pak, H.K., Canonical foliations of certain classes of almost contact metric structures, Acta Math. Sinica, Eng. Ser. Aug., 21(4) (2005), 841-846.

Koufogiorgos T., Markellos M. and Papantoniou J., The harmonicity of the reeb vector field on contact metric 3-manifolds, Pasific Journal of Math., 234(2) (2008).

Öztürk H., Aktan N. and Murathan C., On a-Kenmotsu manifolds satisfying certain conditions, Applied Sci., 12 (2010), 115-126.

Öztürk, H., On Almost a-Cosymplectic (k,u,v)-Spaces, PhD Thesis, Afyon Kocatepe University, Graduate School of Natural and Applied Sciences (2009).

Öztürk, H., On almost a-Kenmotsu manifolds with some tensor fields. AKU J. Sci. Eng. 16 (2016), 256-264.

Öztürk H., Aktan N., Murathan C. and Vanli A.T. Almost a-Cosymplectic f-Manifolds. The Journal of Alexandru Ioan Cuza University, 60 (2014), 211-226.

Yano K., Kon, M., Structures on Manifolds, Series in Pure Math, Vol 3, World Sci., (1984).

Downloads

Published

2018-09-30

How to Cite

On Almost Alpha Kenmotsu (k,u)-Spaces. (2018). JOURNAL OF ADVANCES IN MATHEMATICS, 14(2), 7905-7911. https://doi.org/10.24297/jam.v14i2.7662