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Almost C(α)-manifolds satisfying certain curvature conditions
Mehmet Atçeken,Ümit YILDIRIM 장전수학회 2016 Advanced Studies in Contemporary Mathematics Vol.26 No.3
The object of the present paper is to study the curvatures satisfying properties of an almost C(α)-manifold when it is concircular semi- symmetric, Ricci semi-symmetric, locally symmetric, locally Φ-symmetric and η-parallel.
CERTAIN RESULTS ON INVARIANT SUBMANIFOLDS OF PARA-KENMOTSU MANIFOLDS
( Mehmet Atçeken ) 호남수학회 2021 호남수학학술지 Vol.43 No.1
The purpose of this paper is to study invariant pseudoparal-lel, Ricci generalized pseudoparallel and 2-Ricci generalized pseudoparallel submanifold of a para-Kenmotsu manifold and I obtained some equivalent conditions of invariant submanifolds of para-Kenmotsu manifolds under some conditions which the submanifolds are totally geodesic. Finally, a non-trivial example of invariant submanifold of paracontact metric manifold is constructed in order to illustrate our results.
SOME RESULTS ON INVARIANT SUBMANIFOLDS OF AN ALMOST KENMOTSU (κ, μ, ν)-SPACE
( Mehmet Atçeken ),( Gülsüm Yüca ) 호남수학회 2021 호남수학학술지 Vol.43 No.4
In the present paper, we study the geometric properties of the invariant submanifold of an almost Kenmotsu structure whose Riemannian curvature tensor has (κ, μ, ν)-nullity distribution. In this connection, the necessary and sufficient conditions are investigated for an invariant submanifold of an almost Kenmotsu (κ, μ, ν)-space to be totally geodesic under the behavior of functions κ, μ, and ν.