Some relations between almost paracontact metric manifolds and almost parahermitian manifolds

ISSN: 1300-0098
Yayın Aralığı: Yılda 6 Sayı
Yayıncı: TÜBİTAK

In this study, almost paracontact metric manifolds and almost para-Hermitian manifolds are considered. The relations between almost paracontact metric manifolds and almost para-Hermitian manifolds are investigated and certain results are acquired. Examples of almost para-Hermitian manifolds are presented using the determined relations.

PDF

___

[1] Bejan C-L. A classification of the almost parahermitian manifolds. Differential Geometry and Applications Proceedings of the Conference, June 26-July 3, Dubrovnik, Yugoslavia, 1988.
[2] Cabrera, F M, Monar, M D, Swann, A F. Classification of $G_2$ -structures. Journal of the London Mathematical Society 1994; 53(2): 407-416.
[3] Chinea D, Gonzalez C. A classification of almost contact metric manifolds. Annali di Matematica Pura ed Applicata 1990; 165: 15-36.
[4] Fernández M, Gray A. Riemannian manifolds with structure group $G_2$ . Annali di Matematica Pura ed Applicata 1982; 132: 19-45.
[5] Gray A, Hervella L. The sixteen classes of almost hermitian manifolds and their linear invariants. Annali di Matematica Pura ed Applicata 1980; 123: 35-58.
[6] Gadea P M, Masque J M. Classification of almost parahermitian manifolds. Rendiconti di Matematica 1963, Serie VII 11, 924.
[7] Ivanov S, Vassiliev S, Zamkovoy S. Conformal paracontact curvature and the local flatness Theorem. Geometriae Dedicata 2010; 144: 79-100.
[8] Manev M, Ivanova M. A classification of the torsion tensors on almost contact manifolds with B-metric. Central European Journal of Mathematics 2014; 12(10), 1416-1432.
[9] Obina J A. A classification for almost contact structures. preprint, 1980.
[10] Zamkovoy S, Nakova G. The decomposition of almost paracontact metric manifolds in eleven classes revised. Journal of Geometry 2018; 109: 18.
[11] Zamkovoy S. On para-Kenmotsu manifolds. Filomat 2018; 32(14): 4971-4980.