Mathematics and Statistics Vol. 1(4), pp. 188 - 195
DOI: 10.13189/ms.2013.010403
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SOME CURVATURE CONDITIONS ON α-COSYMPLECTIC MANIFOLDS

HAKAN OZTURK ^*
Afyon Kocatepe University, Faculty of Art and Sciences, Department of Mathematics, Afyonkarahisar, Turkey

ABSTRACT

The main interest of the present paper is to study α-cosymplectic manifolds that satisfy some certain tensor conditions. In particular, we consider α-cosymplectic manifolds with flatness conditions. We prove that there can not exist ϕ-projectively flat α-cosymplectic manifolds whose scalar curvature is zero for the dimension is greater than three. Furthermore, we work with special weakly Ricci-symmetric α-cosymplectic manifolds. We conclude the paper with an example on α-cosymplectic manifolds.

KEYWORDS
α-Cosymplectic manifolds, α-Kenmotsu manifolds, Special weakly Ricci-symmetric manifolds, Weyl conformal curvature tensor, Conharmonic curvature tensor, Projective curvature tensor

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] HAKAN OZTURK , "SOME CURVATURE CONDITIONS ON α-COSYMPLECTIC MANIFOLDS," Mathematics and Statistics, Vol. 1, No. 4, pp. 188 - 195, 2013. DOI: 10.13189/ms.2013.010403.

(b). APA Format:
HAKAN OZTURK (2013). SOME CURVATURE CONDITIONS ON α-COSYMPLECTIC MANIFOLDS. Mathematics and Statistics, 1(4), 188 - 195. DOI: 10.13189/ms.2013.010403.