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Year 2022, Volume: 5 Issue: 2, 89 - 97, 01.06.2022

Ümmü Kocabaş Şirin Aktay

https://doi.org/10.33401/fujma.1049969
Cited By: 1

Abstract

References

  • [1] S. Kaneyuki, F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J., 99 (1985), 173-187.
  • [2] S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Global Anal. Geom., 36 (2009), 37-60, https://doi.org/10.1007/s10455-008-9147-3.
  • [3] S. Zamkovoy, G. Nakova, The decomposition of almost paracontact metric manifolds in eleven classes revisited, J. Geom., 109 (1), (2018), 1-23.
  • [4] G. Nakova, S. Zamkovoy, Almost paracontact manifolds, (2009), arXiv:0806.3859v2 [math.DG].
  • [5] S. Zamkovoy, On para-Kenmotsu manifolds, Filomat, 32 (14) (2018), 4971-4980, https://doi.org/10.2298/FIL1814971Z.
  • [6] N. Özdemir, Ş. Aktay, M. Solgun, Almost paracontact structures obtained from G 2(2) structures, Turk. J. Math., 42 (2018), 3025-3022, https://doi.org/10.3906/mat-1706-10.
  • [7] J. Dixmier, Sur les repr ´ esentations unitaires des groupes de Lie nilpotentes III, Canad. J. Math., 10 (1958), 321-348.
  • [8] N. Özdemir, M. Solgun, Ş. Aktay, Almost paracontact metric structures on 5-dimensional nilpotent Lie algebras, Fundam. J. Math. Appl., 3 (2), (2020), 175-184, https://doi.org/10.33401/fujma.800222.

Examples of Almost Para-Contact Metric Structures on 5-dimensions

Year 2022, Volume: 5 Issue: 2, 89 - 97, 01.06.2022

Ümmü Kocabaş Şirin Aktay

https://doi.org/10.33401/fujma.1049969
Cited By: 1

Abstract

In this study, the classes of several almost paracontact metric structures on 5 dimensional nilpotent Lie algebras are determined. It is also shown that there are no $\eta-$ Einstein structures on 5 dimensional nilpotent Lie algebras.

Keywords

Almost paracontact metric structure \eta-Einstein manifold 5-dimensional nilpotent Lie algebra Nilpotent Lie algebra

References

  • [1] S. Kaneyuki, F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J., 99 (1985), 173-187.
  • [2] S. Zamkovoy, Canonical connections on paracontact manifolds, Ann. Global Anal. Geom., 36 (2009), 37-60, https://doi.org/10.1007/s10455-008-9147-3.
  • [3] S. Zamkovoy, G. Nakova, The decomposition of almost paracontact metric manifolds in eleven classes revisited, J. Geom., 109 (1), (2018), 1-23.
  • [4] G. Nakova, S. Zamkovoy, Almost paracontact manifolds, (2009), arXiv:0806.3859v2 [math.DG].
  • [5] S. Zamkovoy, On para-Kenmotsu manifolds, Filomat, 32 (14) (2018), 4971-4980, https://doi.org/10.2298/FIL1814971Z.
  • [6] N. Özdemir, Ş. Aktay, M. Solgun, Almost paracontact structures obtained from G 2(2) structures, Turk. J. Math., 42 (2018), 3025-3022, https://doi.org/10.3906/mat-1706-10.
  • [7] J. Dixmier, Sur les repr ´ esentations unitaires des groupes de Lie nilpotentes III, Canad. J. Math., 10 (1958), 321-348.
  • [8] N. Özdemir, M. Solgun, Ş. Aktay, Almost paracontact metric structures on 5-dimensional nilpotent Lie algebras, Fundam. J. Math. Appl., 3 (2), (2020), 175-184, https://doi.org/10.33401/fujma.800222.
There are 8 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Ümmü Kocabaş 0000-0003-0946-5544

Şirin Aktay 0000-0003-2792-3481

Publication Date June 1, 2022
Submission Date December 29, 2021
Acceptance Date March 19, 2022
Published in Issue Year 2022 Volume: 5 Issue: 2

Cite

APA Kocabaş, Ü., & Aktay, Ş. (2022). Examples of Almost Para-Contact Metric Structures on 5-dimensions. Fundamental Journal of Mathematics and Applications, 5(2), 89-97. https://doi.org/10.33401/fujma.1049969
AMA Kocabaş Ü, Aktay Ş. Examples of Almost Para-Contact Metric Structures on 5-dimensions. FUJMA. June 2022;5(2):89-97. doi:10.33401/fujma.1049969
Chicago Kocabaş, Ümmü, and Şirin Aktay. “Examples of Almost Para-Contact Metric Structures on 5-Dimensions”. Fundamental Journal of Mathematics and Applications 5, no. 2 (June 2022): 89-97. https://doi.org/10.33401/fujma.1049969.
EndNote Kocabaş Ü, Aktay Ş (June 1, 2022) Examples of Almost Para-Contact Metric Structures on 5-dimensions. Fundamental Journal of Mathematics and Applications 5 2 89–97.
IEEE Ü. Kocabaş and Ş. Aktay, “Examples of Almost Para-Contact Metric Structures on 5-dimensions”, FUJMA, vol. 5, no. 2, pp. 89–97, 2022, doi: 10.33401/fujma.1049969.
ISNAD Kocabaş, Ümmü - Aktay, Şirin. “Examples of Almost Para-Contact Metric Structures on 5-Dimensions”. Fundamental Journal of Mathematics and Applications 5/2 (June 2022), 89-97. https://doi.org/10.33401/fujma.1049969.
JAMA Kocabaş Ü, Aktay Ş. Examples of Almost Para-Contact Metric Structures on 5-dimensions. FUJMA. 2022;5:89–97.
MLA Kocabaş, Ümmü and Şirin Aktay. “Examples of Almost Para-Contact Metric Structures on 5-Dimensions”. Fundamental Journal of Mathematics and Applications, vol. 5, no. 2, 2022, pp. 89-97, doi:10.33401/fujma.1049969.
Vancouver Kocabaş Ü, Aktay Ş. Examples of Almost Para-Contact Metric Structures on 5-dimensions. FUJMA. 2022;5(2):89-97.

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