? -submanifolds of para-Sasakian manifolds
Yükleniyor...
Dosyalar
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Turkish Journal of Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Abstract: Almost semiinvariant ξ ⊥ -submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant ξ ⊥ -submanifolds and semiinvariant ξ ⊥ -submanifolds are presented. A para-CR-structure is defined and it is proven that an almost semiinvariant ξ ⊥ -submanifold of a normal almost paracontact metric (and hence para-Sasakian) manifold with the proper invariant distribution always possesses a para-CR-structure. A counter example is also given. Integrability conditions for certain natural distributions arising on almost semiinvariant ξ ⊥ -submanifolds are obtained. Finally, certain parallel operators on submanifolds are investigated.
Açıklama
Anahtar Kelimeler
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
38
Sayı
5
Künye
PERKTAŞ S. Y,TRIPATHI M. M,KILIÇ E,KELEŞ S (2014). ξ ⊥ -submanifolds of para-Sasakian manifolds. Turkish Journal of Mathematics, 38(5), 905 - 919.
