Yazar "Tekin, P." seçeneğine göre listele

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    A New Class of Nearly Kenmotsu Manifolds
    (2018) Tekin, P.; Ayar, Gülhan; Aktan, N.
    The aim of this work is to show that, in ? Einstein nearly Kenmotsu manifolds with projective curvature tensor , and conharmonic curvature tensor , satisfy the conditions R(X ,Y ).P = 0 and R(X ,Y ).N = 0 respectively. And so, to obtain a new class of ? Einstein nearly Kenmotsu manifolds.
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    On Einstein Nearly Cosymplectic Manifolds
    (2018) Tekin, P.; Ayar, Gülhan; Aktan, N.
    This paper deals with the study of Einstein nearly cosymplectic manifold which has projective curvature tensor P and conharmonic curvature tensor N, satisfying R(X,Y)P=0 and R(X,Y)N=0 respectively. Moreover we have shown that Einstein nearly cosymplectic manifold has 5 dimension.
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    Some Relations Between Curvature Tensors of a Riemannian Manifold.
    (2017) Ayar, Gülhan; Tekin, P.; Aktan, N.
    In this paper, properties alpha-cosymplectic manifolds equipped with M-procetive curvature tensor are studied. First, we gave the basic definitions and curvature properties of alpha-cosymplectic manifolds, then, we gave the definitions of Weyl projective curvature tensor , con-circular curvature tensor C and conformal curvature tensor V and we obtain some relations between these curvature tensors of a Riemannian manifold. Also we proved that an 2n+1-dimensional alpha-cosymplectic manifold is projectively flat if and only if it is either locally isometric to the hyperbolic space Hn(-1) . And finally, we proved that the M-projective curvature tensor in an alpha-cosymplectic manifold M is irrotational if and only if it is locally isometric to the hyperbolic space Hn(-a^2) .