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Year 2020, Volume: 8 Issue: 1, 1 - 10, 20.03.2020
https://doi.org/10.36753/mathenot.651519

Abstract

References

  • Reference1 Cappelletti-Montano B., Erken I. Küpeli, Murathan C., Nullity conditions in paracontact geometry, Diff. Geom. Appl.30(2012), 665-693.
  • Reference2 Kaneyuki S. , Williams F. L., Almost paracontact and parahodge structures on manifolds, Nagoya Math. J.,99(1985), 173-187.
  • Reference3 Mandal K.,De U. C., Paracontactmetric (k,µ)-spaces satisfying certain curvature conditions, Kyungpook Math. J.,59(2019), 163-174.
  • Reference4 Soos´G., ¨Uber die geod¨atischen Abbildungen von Riemannaschen R¨aumen auf projektiv symmetrische Riemannsche R¨aume, Acta. Math. Acad. Sci. Hungar. Tom.,9(1958), 359-361.
  • Reference5 Yano K., Bochner S., Curvature and Betti numbers, Annals of mathematics studies, 32, Princeton university press, 1953.
  • Reference6 Yano K., Kon M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, (1984).
  • Reference7 Yıldız A., De U. C., A classification of (k,µ)-contact metric manifolds, Commun Korean Math. Soc.,27(2012), 327-339.
  • Reference8 Zamkovoy S., Canonical connections on paracontact manifolds, Ann. Glob. Anal. Geom., 36 (2009), 37-60.
  • Reference9 Zamkovoy S., Tzanov V., Non-existence of flat paracontact metric structures in dimension greater than or equal to five, Annuaire Univ. Sofia Fac. Math. Inform.100(2011), 27-34.

Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds

Year 2020, Volume: 8 Issue: 1, 1 - 10, 20.03.2020
https://doi.org/10.36753/mathenot.651519

Abstract

The object of the present paper is to characterize paracontact metric (k,µ)-manifolds satisfying some semisymmetry curvature conditions.


References

  • Reference1 Cappelletti-Montano B., Erken I. Küpeli, Murathan C., Nullity conditions in paracontact geometry, Diff. Geom. Appl.30(2012), 665-693.
  • Reference2 Kaneyuki S. , Williams F. L., Almost paracontact and parahodge structures on manifolds, Nagoya Math. J.,99(1985), 173-187.
  • Reference3 Mandal K.,De U. C., Paracontactmetric (k,µ)-spaces satisfying certain curvature conditions, Kyungpook Math. J.,59(2019), 163-174.
  • Reference4 Soos´G., ¨Uber die geod¨atischen Abbildungen von Riemannaschen R¨aumen auf projektiv symmetrische Riemannsche R¨aume, Acta. Math. Acad. Sci. Hungar. Tom.,9(1958), 359-361.
  • Reference5 Yano K., Bochner S., Curvature and Betti numbers, Annals of mathematics studies, 32, Princeton university press, 1953.
  • Reference6 Yano K., Kon M., Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore, (1984).
  • Reference7 Yıldız A., De U. C., A classification of (k,µ)-contact metric manifolds, Commun Korean Math. Soc.,27(2012), 327-339.
  • Reference8 Zamkovoy S., Canonical connections on paracontact manifolds, Ann. Glob. Anal. Geom., 36 (2009), 37-60.
  • Reference9 Zamkovoy S., Tzanov V., Non-existence of flat paracontact metric structures in dimension greater than or equal to five, Annuaire Univ. Sofia Fac. Math. Inform.100(2011), 27-34.
There are 9 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Ahmet Yıldız

U.c. De

Publication Date March 20, 2020
Submission Date November 27, 2019
Acceptance Date March 12, 2020
Published in Issue Year 2020 Volume: 8 Issue: 1

Cite

APA Yıldız, A., & De, U. (2020). Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds. Mathematical Sciences and Applications E-Notes, 8(1), 1-10. https://doi.org/10.36753/mathenot.651519
AMA Yıldız A, De U. Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds. Math. Sci. Appl. E-Notes. March 2020;8(1):1-10. doi:10.36753/mathenot.651519
Chicago Yıldız, Ahmet, and U.c. De. “Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds”. Mathematical Sciences and Applications E-Notes 8, no. 1 (March 2020): 1-10. https://doi.org/10.36753/mathenot.651519.
EndNote Yıldız A, De U (March 1, 2020) Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds. Mathematical Sciences and Applications E-Notes 8 1 1–10.
IEEE A. Yıldız and U. De, “Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds”, Math. Sci. Appl. E-Notes, vol. 8, no. 1, pp. 1–10, 2020, doi: 10.36753/mathenot.651519.
ISNAD Yıldız, Ahmet - De, U.c. “Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds”. Mathematical Sciences and Applications E-Notes 8/1 (March 2020), 1-10. https://doi.org/10.36753/mathenot.651519.
JAMA Yıldız A, De U. Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds. Math. Sci. Appl. E-Notes. 2020;8:1–10.
MLA Yıldız, Ahmet and U.c. De. “Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds”. Mathematical Sciences and Applications E-Notes, vol. 8, no. 1, 2020, pp. 1-10, doi:10.36753/mathenot.651519.
Vancouver Yıldız A, De U. Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds. Math. Sci. Appl. E-Notes. 2020;8(1):1-10.

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