Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1710104 | Applied Mathematics Letters | 2009 | 5 Pages |
Abstract
The object of the present work is to study a three-dimensional normal almost contact metric manifold which is locally ϕϕ-symmetric and whose Ricci tensor is ηη-parallel. First we obtain a necessary and sufficient condition for a three-dimensional normal almost contact metric manifold to be locally ϕϕ-symmetric. Next we prove that in such a manifold with α,β=constantα,β=constant if the Ricci tensor is ηη-parallel, then the manifold is locally ϕϕ-symmetric. Finally, an example of a three-dimensional locally ϕϕ-symmetric normal almost contact metric manifold is given.
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Engineering
Computational Mechanics
Authors
U.C. De, Ahmet Yildiz, A. Funda Yalınız,