Yazar "Yildirim, Umit" 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 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) ... -
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 ...
