Yazar "Atceken, Mehmet" için listeleme
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An Inequality for Warped Product Semi-Invariant Submanifolds of a Normal Paracontact Metric Manifold
Atceken, Mehmet; Dirik, Suleyman; Yildirim, Umit (UNIV NIS, FAC SCI MATH, 2017)The aim of this paper is to study the warped product semi-invariant submanifolds in a normal paracontact metric space form. We obtain some characterization and new geometric obstructions for the warped product type M+ x(f) ... -
On Kenmotsu Metric Spaces Satisfying Some Conditions on the W1- Curvature Tensor
Uygun, Pakize; Atceken, Mehmet; Dirik, Suleyman (Univ Nis, Fac Sci Math, 2022)In this paper we present the curvature tensors of Kenmotsu manifold satisfying the conditions W-1(X, Y) center dot W-0 = 0, W-1(X, Y) center dot W-1 = 0, W-1(X, Y) center dot W-2 = 0, W1(X, Y) center dot W-3 = 0, W-1(X, ... -
On the Geometry of Pseudo-Slant Submanifolds of a Cosymplectic Manifold
Dirik, Suleyman; Atceken, Mehmet (INT ELECTRONIC JOURNAL GEOMETRY, 2016)In this paper, we study pseudo-slant submanifolds of a Cosymplectic manifold. We research integrability conditions for the distributions which are involved in the definition of a pseudo-slant submanifold. The necessary and ... -
ON THE GEOMETRY OF PSEUDO-SLANT SUBMANIFOLDS OF A NEARLY SASAKIAN MANIFOLD
Dirik, Suleyman; Atceken, Mehmet; Yildirim, Umit (ANKARA UNIV, FAC SCI, 2018)In this paper, we study the pseudo-slant submanifolds of a nearly Sasakian manifold. We characteterize a totally umbilical properpseudo-slant submanifolds and find that a necessary and sufficient condition for such ... -
PSEUDO PROJECTIVE CURVATURE TENSOR SATISFYING SOME PROPERTIES ON A NORMAL PARACONTACT METRIC MANIFOLD
Yildirim, Umit; Atceken, Mehmet; Dirik, Suleyman (ANKARA UNIV, FAC SCI, 2019)In the present paper we have studied the curvature tensor of a normal paracontact metric manifold satisfying the conditions R(xi, X)(p) over tilde = 0, (P) over tilde(xi,X)(P) over tilde = 0, (P) over tilde(xi,X)S = 0, (P) ... -
Pseudo-slant submanifolds in cosymplectic space forms
Dirik, Suleyman; Atceken, Mehmet (DE GRUYTER POLAND SP ZOO, 2016)In this paper, we study the geometry of the pseudo-slant submanifolds of a cosymplectic space form. Necessary and sufficient conditions are given for a submanifold to be a pseudo-slant submanifold, pseudo-slant product, ... -
Semiparallel Submanifolds of a Normal Paracontact Metric Manifold
Atceken, Mehmet; Yildirim, Umit; Dirik, Suleyman (HACETTEPE UNIV, FAC SCI, 2019)The object of the present paper is to study invariant semiparallel and 2-semiparallel submanifolds of a normal paracontact metric manifold. We see that parallel submanifolds of a normal paracontact metric manifold are ... -
Sub-Manifolds of a Riemannian Manifold
Atceken, Mehmet; Yildirim, Umit; Dirik, Suleyman (INTECH EUROPE, 2017)In this chapter, we introduce the theory of sub-manifolds of a Riemannian manifold. The fundamental notations are given. The theory of sub-manifolds of an almost Riemannian product manifold is one of the most interesting ...
