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    ALMOST alpha-COSYMPLECTIC f-MANIFOLDS
    (Univ Al I Cuza, Fac Math, 2014) Öztürk, Hakan; Murathan, Cengizhan; Aktan, Nesip; Vanlı, Aysel Turgut
    The purpose of this paper is to study a new class of framed manifolds. Such manifolds are Called almost alpha-cosymplectic f-manifolds. For some special cases of alpha and s, one obtains (almost) alpha-cosymplectic, (almost) C-manifolds, and (almost) Kenmotsu f-manifolds. Moreover, several tensor conditions are studied. We conclude our results with a general example on alpha-cosymplectic f-manifolds.
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    Almost f-Cosymplectic Manifolds
    (Springer Basel Ag, 2014) Aktan, Nesip; Yıldırım, Mustafa; Murathan, Cengizhan
    The purpose of this paper is to study a new class of contact manifolds. Such manifolds are called almost f-cosymplectic manifolds. Several tensor conditions are studied for such type of manifolds. We conclude our results with two examples of almost f-cosymplectic manifolds.
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    ALMOST KENMOTSU f-MANIFOLDS
    (Vasyl Stefanyk Precarpathian Natl Univ, 2015) Balkan, Yavuz Selim; Aktan, Nesip
    In this paper we consider a generalization of almost Kenmotsu f-manifolds. We get basic Riemannian curvature, sectional curvatures and scalar curvature properties of such type manifolds. Finally, we give two examples.
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    An Introduction to Globally Framed Almost f-Cosymplectic Manifolds
    (Amer Inst Physics, 2017) Yıldırım, 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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    On A New Type of (k, mu)-Contact Metric Manifolds
    (Amer Inst Physics, 2017) Balkan, Yavuz Selim; Ayar, Gülhan; 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 Some Types of Almost Cosymplectic Manifolds
    (Amer Inst Physics, 2017) Ayar, Gülhan; 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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    On the generalization of some integral inequalities and their applications
    (Pergamon-Elsevier Science Ltd, 2011) Sarıkaya, Mehmet Zeki; Aktan, Nesip
    In this paper, a general integral identity for convex functions is derived. Then, we establish some new inequalities of the Simpson and the Hermite-Hadamard type for functions whose absolute values of derivatives are convex. Some applications for special means of real numbers are also provided. (C) 2011 Elsevier Ltd. All rights reserved.
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    On weak symmetries of almost Kenmotsu (?, ?, ?)-spaces
    (Hacettepe University, 2013) Aktan, Nesip; Balkan, Satılmış; Yıldırım, Mustafa
    In this paper, we study on weak symmetries of almost Kenmotsu (?, ?, ?)-spaces. For each ?, ?, ? 1-forms and any vector field X we get (Formula presented)-dimensional almost Kenmotsu (?, ?, ?)-space is weakly symmetric and for each ", ?, ?, ? 1-forms we get(Formula presented)-dimensional almost Kenmotsu (?, ?, ?)-space is weakly Ricci symmetric. © 2013, Hacettepe University. All rights reserved.
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    ON WEAK SYMMETRIES OF ALMOST KENMOTSU (?, µ, ?)-SPACES
    (2013) Aktan, Nesip; Balkan, Satılmış; Yıldırım, Mustafa
    In this paper, we study on weak symmetries of almost Kenmotsu (?, µ, ?)-spaces. For each ?, ?, ? 1-forms and any vector field X we get ? ? ? X (?) ? , if a (2n 1)-dimensional almost Kenmotsu (?, µ, ?)-space is weakly symmetric and for each ?, ?, ? 1-forms we get ? ? ? X (?) ? , if a (2n 1)-dimensional almost Kenmotsu (?, µ, ?)-space is weakly Ricci symmetric.
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    ON WEAK SYMMETRIES OF ALMOST KENMOTSU (k, mu, nu)-SPACES
    (Hacettepe Univ, Fac Sci, 2013) Aktan, Nesip; Balkan, Satilmis; Yıldırım, Mustafa
    In this paper, we study on weak symmetries of almost Kenmotsu (k, mu, nu)-spaces. For each alpha, gamma, delta 1-forms and any vector field X we get alpha + gamma + delta = X (k)/k, if a (2n + 1)-dimensional almost Kenmotsu (k, mu, nu)-space is weakly symmetric and for each epsilon, sigma, rho 1-forms we get epsilon + sigma + rho = X(k)/k, if a (2n+1)-dimensional almost Kenmotsu (k, mu, nu)-space is weakly Ricci symmetric.
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    A SCHUR TYPE THEOREM FOR ALMOST COSYMPLECTIC MANIFOLDS WITH KAEHLERIAN LEAVES
    (Hacettepe Univ, Fac Sci, 2013) Aktan, Nesip; Ayar, Gülhan; Bektaş, İmren
    In this study, we give a Schur type theorem for almost cosymplectic manifolds with Keahlerian leaves.
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    Some Curvature Properties of Globally Framed Almost f-Cosymplectic Manifolds
    (Amer Inst Physics, 2017) Yıldırım, Mustafa; Aktan, Nesip
    The purpose of this paper is to study fundamental curvature properties for globally framed almost f-cosymplectic manifolds.