??-submanifolds of para-Sasakian manifolds
Küçük Resim Yok
Tarih
2014
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Tubitak Scientific & Technological Research Council Turkey
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Almost semiinvariant xi(perpendicular to)-submanifolds of an almost paracontact metric manifold are defined and studied. Some characterizations of almost semiinvariant xi(perpendicular to)-submanifolds and semiinvariant xi(perpendicular to)-submanifolds are presented. A para-CR-structure is defined and it is proven that an almost semiinvariant xi(perpendicular to)-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 xi(perpendicular to)-submanifolds are obtained. Finally, certain parallel operators on submanifolds are investigated.
Açıklama
Anahtar Kelimeler
Almost paracontact metric manifold, para-Sasakian manifold, xi(perpendicular to)-submanifold, almost semiinvariant xi(perpendicular to)-submanifolds, para-CR-structure
Kaynak
Turkish Journal of Mathematics
WoS Q Değeri
Q4
Scopus Q Değeri
Q2
Cilt
38
Sayı
5
