Research Article

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

Volume: 5 Number: 2 June 1, 2022
EN

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

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

References

  1. [1] S. Kaneyuki, F. L. Williams, Almost paracontact and parahodge structures on manifolds, Nagoya Math. J., 99 (1985), 173-187.
  2. [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. [3] S. Zamkovoy, G. Nakova, The decomposition of almost paracontact metric manifolds in eleven classes revisited, J. Geom., 109 (1), (2018), 1-23.
  4. [4] G. Nakova, S. Zamkovoy, Almost paracontact manifolds, (2009), arXiv:0806.3859v2 [math.DG].
  5. [5] S. Zamkovoy, On para-Kenmotsu manifolds, Filomat, 32 (14) (2018), 4971-4980, https://doi.org/10.2298/FIL1814971Z.
  6. [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. [7] J. Dixmier, Sur les repr ´ esentations unitaires des groupes de Lie nilpotentes III, Canad. J. Math., 10 (1958), 321-348.
  8. [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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

June 1, 2022

Submission Date

December 29, 2021

Acceptance Date

March 19, 2022

Published in Issue

Year 2022 Volume: 5 Number: 2

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
1.Kocabaş Ü, Aktay Ş. Examples of Almost Para-Contact Metric Structures on 5-dimensions. Fundam. J. Math. Appl. 2022;5(2):89-97. doi:10.33401/fujma.1049969
Chicago
Kocabaş, Ümmü, and Şirin Aktay. 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.
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
[1]Ü. Kocabaş and Ş. Aktay, “Examples of Almost Para-Contact Metric Structures on 5-dimensions”, Fundam. J. Math. Appl., vol. 5, no. 2, pp. 89–97, June 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 1, 2022): 89-97. https://doi.org/10.33401/fujma.1049969.
JAMA
1.Kocabaş Ü, Aktay Ş. Examples of Almost Para-Contact Metric Structures on 5-dimensions. Fundam. J. Math. Appl. 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, June 2022, pp. 89-97, doi:10.33401/fujma.1049969.
Vancouver
1.Ümmü Kocabaş, Şirin Aktay. Examples of Almost Para-Contact Metric Structures on 5-dimensions. Fundam. J. Math. Appl. 2022 Jun. 1;5(2):89-97. doi:10.33401/fujma.1049969

Cited By

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