Riemannian Curvature of a Sliced Contact Metric Manifold
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Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Contact geometry become a more important issue in the mathematical world with the workswhich had done in the 19th century. Many mathematicians have made studies on contactmanifolds, almost contact manifolds, almost contact metric manifolds and contact metricmanifolds. Many different studies have been done and papers have been published on Sasakimanifolds, Kähler manifolds, the other manifold types and submanifolds of them. In ourprevious studies we get the characterization of indefinite Sasakian manifolds. In order to getthe characterization of indefinite Sasakian manifolds, firstly we defined sliced contact metricmanifolds and then we examined the features of them. As a result we obtain a sliced almostcontact metric manifold which is a wider class of almost contact metric manifolds. Thus, weconstructed a sliced which is a contact metric manifold on an almost contact metric manifoldwhere the manifold is not a contact metric manifold. Sliced almost contact metric manifoldsgeneralized the almost contact metric manifolds. Then, we study on the sliced Sasakianmanifolds and the submanifolds of them. Moreover we analyzed some important properties ofthe manifold theory on sliced almost contact metric manifolds.In this paper we calculated the ????-sectional curvature and the Riemannian curvature tensor ofthe sliced almost contact metric manifolds. Hence we think that all these studies willaccelerate the studies on the contact manifolds and their submanifolds.
Açıklama
Anahtar Kelimeler
Matematik
Kaynak
Çanakkale Onsekiz Mart Üniversitesi Fen Bilimleri Enstitüsü Dergisi
WoS Q Değeri
Scopus Q Değeri
Cilt
4
Sayı
2
