PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 56(70), pp. 102--110 (1994)
On the AC-contact Bochner curvature tensor field on almost cosymplectic manifolds
Hiroshi EndoKohnodai Senior High School, 2-4-1, Kohnodai, Ichikawa-Shi 272, Chiba-Ken, Japan
Abstract: On an almost cosymplectic manifold we define a new modified contact Bochner curvature tensor field which is invariant with respect to $D$-homothetic deformation. Then we generalize a theorem of Olszak  and describe some manifolds with vanishing its new modified contact Bochner curvature tensor field.
Keywords: almost cosymplectic manifold, cosymplectic manifold, $D$-homothetic deformation
Classification (MSC2000): 53C15, 53C25
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© 2001 Mathematical Institute of the Serbian Academy of Science and Arts