Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds
Certain Semisymmetry Curvature Conditions on Paracontact Metric $(k,\mu )$-Manifolds
The object of the present paper is to characterize paracontact metric (k,µ)-manifolds satisfying some semisymmetry curvature conditions.
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- 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.