Research Article
BibTex RIS Cite
Year 2019, Volume: 68 Issue: 1, 852 - 861, 01.02.2019
https://doi.org/10.31801/cfsuasmas.482772

Abstract

References

  • Akyol, M. A., Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistics, 46, (2017), 177-192.
  • Beniamino, C.M., Antonio, D.N., Ivan, Y., A survey on cosymplectic geometry,arXiv: 1305.3704 v3.
  • Blair, D.E., Riemannian geometry of contact and symplectic manifolds,Progress in Mathematics 203, Birkhauser, 2002.
  • Blair, D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, Berlin, 1976.
  • De, U.C., Sarkar,A., On a type of P- Sasakian manifolds, Math. Reports, 11 (61), (2009), 139-144.
  • Deszcz, R., Verstraelen, L., and Yaprak, S., Warped products realizing a certain condition of pseudosymmetry type imposed on the Weyl curvature tensor, Chin. J. Math. 22, 2, (1994), 139-157.
  • Eisenhart, L.P., Riemannian Geometry, Princeton University Press, 1949.
  • 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.
  • Matsumoto, K., Ianus, S., Mihai, I., On P-Sasakian manifolds which admit certain tensor fields, Publ. Math. Debrecen 33, (1986), 61-65.
  • Öztürk H., Murathan C., Aktan N., Vanli A.T., Almost α-cosymplectic f-manifolds, Analele stııntıfıce ale unıversıtatıı 'AI.I Cuza' Dı ıaşı (S.N.) Matematica, Tomul LX, f.1. (2014).
  • Olszak, Z., On almost cosymplectic manifolds,Kodai Math, 4, 2, (1981), 239- 250.
  • Pokhariyal, G.P., Mishra, R.S., The curvature tensor and their relativistic significance, Yokohoma Math. J. 18, (1970), 105-108.
  • Pokhariyal, G.P., Study of a new curvature tensor in a Sasakian manifold, Tensor N.S. 36, (1982) 222-225.
  • Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific, 1984.
  • Yano, K., Sawaki, S., Riemannian manifolds admitting a conformal transfor- mation group, J. Diferential Geometry 2, (1968), 161-184.
  • Yildiz A., De, U.C., On a type of Kenmotsu manifolds, Differential Geometry- Dynamical Systems,Vol. 12, (2010) 289-298.

On a type of α-cosymplectic manifolds

Year 2019, Volume: 68 Issue: 1, 852 - 861, 01.02.2019
https://doi.org/10.31801/cfsuasmas.482772

Abstract

The object of this paper is to study α-cosymplectic manifolds admitting a W₂-curvature tensor.

References

  • Akyol, M. A., Conformal anti-invariant submersions from cosymplectic manifolds, Hacettepe Journal of Mathematics and Statistics, 46, (2017), 177-192.
  • Beniamino, C.M., Antonio, D.N., Ivan, Y., A survey on cosymplectic geometry,arXiv: 1305.3704 v3.
  • Blair, D.E., Riemannian geometry of contact and symplectic manifolds,Progress in Mathematics 203, Birkhauser, 2002.
  • Blair, D.E., Contact Manifolds in Riemannian Geometry, Lecture Notes in Math. 509, Springer-Verlag, Berlin, 1976.
  • De, U.C., Sarkar,A., On a type of P- Sasakian manifolds, Math. Reports, 11 (61), (2009), 139-144.
  • Deszcz, R., Verstraelen, L., and Yaprak, S., Warped products realizing a certain condition of pseudosymmetry type imposed on the Weyl curvature tensor, Chin. J. Math. 22, 2, (1994), 139-157.
  • Eisenhart, L.P., Riemannian Geometry, Princeton University Press, 1949.
  • 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.
  • Matsumoto, K., Ianus, S., Mihai, I., On P-Sasakian manifolds which admit certain tensor fields, Publ. Math. Debrecen 33, (1986), 61-65.
  • Öztürk H., Murathan C., Aktan N., Vanli A.T., Almost α-cosymplectic f-manifolds, Analele stııntıfıce ale unıversıtatıı 'AI.I Cuza' Dı ıaşı (S.N.) Matematica, Tomul LX, f.1. (2014).
  • Olszak, Z., On almost cosymplectic manifolds,Kodai Math, 4, 2, (1981), 239- 250.
  • Pokhariyal, G.P., Mishra, R.S., The curvature tensor and their relativistic significance, Yokohoma Math. J. 18, (1970), 105-108.
  • Pokhariyal, G.P., Study of a new curvature tensor in a Sasakian manifold, Tensor N.S. 36, (1982) 222-225.
  • Yano, K. and Kon, M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific, 1984.
  • Yano, K., Sawaki, S., Riemannian manifolds admitting a conformal transfor- mation group, J. Diferential Geometry 2, (1968), 161-184.
  • Yildiz A., De, U.C., On a type of Kenmotsu manifolds, Differential Geometry- Dynamical Systems,Vol. 12, (2010) 289-298.
There are 16 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Review Articles
Authors

Selahattin Beyendi 0000-0002-1037-6410

Gülhan Ayar 0000-0002-1018-4590

Nesip Aktan 0000-0002-6825-4563

Publication Date February 1, 2019
Submission Date August 25, 2017
Acceptance Date May 9, 2018
Published in Issue Year 2019 Volume: 68 Issue: 1

Cite

APA Beyendi, S., Ayar, G., & Aktan, N. (2019). On a type of α-cosymplectic manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 68(1), 852-861. https://doi.org/10.31801/cfsuasmas.482772
AMA Beyendi S, Ayar G, Aktan N. On a type of α-cosymplectic manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. February 2019;68(1):852-861. doi:10.31801/cfsuasmas.482772
Chicago Beyendi, Selahattin, Gülhan Ayar, and Nesip Aktan. “On a Type of α-Cosymplectic Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68, no. 1 (February 2019): 852-61. https://doi.org/10.31801/cfsuasmas.482772.
EndNote Beyendi S, Ayar G, Aktan N (February 1, 2019) On a type of α-cosymplectic manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68 1 852–861.
IEEE S. Beyendi, G. Ayar, and N. Aktan, “On a type of α-cosymplectic manifolds”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 68, no. 1, pp. 852–861, 2019, doi: 10.31801/cfsuasmas.482772.
ISNAD Beyendi, Selahattin et al. “On a Type of α-Cosymplectic Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 68/1 (February 2019), 852-861. https://doi.org/10.31801/cfsuasmas.482772.
JAMA Beyendi S, Ayar G, Aktan N. On a type of α-cosymplectic manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68:852–861.
MLA Beyendi, Selahattin et al. “On a Type of α-Cosymplectic Manifolds”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 68, no. 1, 2019, pp. 852-61, doi:10.31801/cfsuasmas.482772.
Vancouver Beyendi S, Ayar G, Aktan N. On a type of α-cosymplectic manifolds. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2019;68(1):852-61.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.