Almost cosymplectic p-spheres and almost cosymplectic metric bi-structures on three-manifolds
Received:February 25, 2020  Revised:April 24, 2020
Key Word: almost cosymplectic circles   almost cosymplectic spheres   almost cosymplectic metric bi-structures.  
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Author NameAffiliationE-mail
Jin Li Dalian University of Technology janelee0907@163.com 
Ximin Liu Dalian University of Technology ximinliu@dlut.edu.cn 
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Abstract:
      The purpose of this paper is to study almost cosymplectic $p$-spheres and almost cosymplectic metric bi-structures. Firstly, we show some properties of almost cosymplectic $p$-spheres. Then we introduce the notion of almost cosymplectic metric bi-structures and give some results on three-dimensional manifolds admitting almost cosymplectic metric bi-structures. Moreover, we investigate three-dimensional manifolds with almost cosymplectic metric bi-structures when the $(1, 1)$-type tensor fields $h_1$ and $h_2$ are being of codazzi type and cyclic parallel.
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