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    ALMOST ?-COSYMPLECTIC f-MANIFOLDS ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION
    (Honam Mathematical Soc, 2020) Beyendi, Selahattin; Aktan, Nesip; Sivridag, Ali Ihsan
    In this paper, we introduce almost alpha-Cosymplectic f-manifolds endowed with a semi-symmetric non-metric connection and give some general results concerning the curvature of such connection. In particular, we study some curvature properties of an almost alpha-cosymplectic f-manifold equipped with semi-symmetric non-metric connection.
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    ?-Einstein nearly Kenmotsu manifolds
    (World Scientific Publ Co Pte Ltd, 2019) Tekin, Pelin; Aktan, Nesip
    In this paper, we showed that an eta-Einstein nearly Kenmotsu manifold with projective curvature tensor P, and conharmonic curvature tensor N, satisfy the conditions R(X, Y) . P = 0 and R(X, Y) . N = 0, respectively. Furthermore, we obtain scalar curvature of a projectively flat and a conharmonically flat eta-Einstein nearly Kenmotsu manifold.
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    An Introduction to Globally Framed Almost f-Cosymplectic Manifolds
    (Amer Inst Physics, 2017) Yildirim, Mustafa; Aktan, Nesip
    The purpose of this paper is to define a new class of framed manifolds. We give an explicit example of globally framed almost f-cosymplectic manifolds.
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    An Introduction to the New Type of Globally Framed Manifold
    (Amer Inst Physics, 2017) Aktan, Nesip; Tekin, Pelin
    The purpose of this paper is to give an introduction to new type of globally framed manifolds. Such manifolds are called globally framed nearly Sasakian manifolds. We show that a normal globally framed nearly Sasakian manifold is an S-manifold.
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    On A New Type of (k, ?)-Contact Metric Manifolds
    (Amer Inst Physics, 2017) Balkan, Yavuz Selim; Ayar, Gulhan; Aktan, Nesip
    n the present paper we introduce cyclic-parallel t-curvature tensor on (k, mu)-contact metric manifolds. We investigate some curvature properties of these type manifolds and we obtain that these type of manifolds have cyclic-parallel Ricci tensor under some conditions. Furthermore, we get these type of manifolds are K-contact under some special cases and we obtain that M is locally isometric to the product En+1 x S-n (4) under some algebraic conditions.
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    ON A TYPE OF ?-COSYMPLECTIC MANIFOLDS
    (Ankara Univ, Fac Sci, 2019) Beyendi, Selahattin; Ayar, Gulhan; Aktan, Nesip
    The object of this paper is to study alpha-cosymplectic manifolds admitting a W-2-curvature tensor.
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    On Some Types of Almost Cosymplectic Manifolds
    (Amer Inst Physics, 2017) Ayar, Gulhan; Beyendi, Selahattin; Aktan, Nesip
    The object of the present paper is to study almost cosymplectic (k, mu)-spaces satisfying some curvature conditions.
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    Some Curvature Properties of Globally Framed Almost f-Cosymplectic Manifolds
    (Amer Inst Physics, 2017) Yildirim, Mustafa; Aktan, Nesip
    The purpose of this paper is to study fundamental curvature properties for globally framed almost f-cosymplectic manifolds.