Invariant Submanifolds of Paracontact Metric ((kappa)over-tilde not equal-1, (mu)over-tilde)-Manifolds
Küçük Resim Yok
Tarih
2020
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Basel Ag
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
The principal objective of this paper is to answer positively the open question whether every invariant submanifold of a paracontact metric ((kappa) over tilde, (mu) over tilde)-manifold is totally geodesic. Main result is that any invariant submanifold of a paracontact metric ((kappa) over tilde, (mu) over tilde)-manifold, (kappa) over tilde not equal -1, is always totally geodesic. Additionally, if (kappa) over tilde not equal - 1 and (mu) over tilde not equal 0 the result can be partially reversed, which shows that the totally geodesic submanifold is invariant under the flow of characteristic vector field is tangent to the submanifold.
Açıklama
Anahtar Kelimeler
Paracontact metric manifold, invariant submanifolds, (kappa, mu)-manifold
Kaynak
Results In Mathematics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
75
Sayı
3
