Invariant Submanifolds of Paracontact Metric ((kappa)over-tilde not equal-1, (mu)over-tilde)-Manifolds

Küçük Resim Yok

Tarih

2020

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

Künye