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- Title
Pseudo-symmetric almost cosymplectic 3-manifolds.
- Authors
Inoguchi, Jun-ichi; Lee, Ji-Eun
- Abstract
In this paper, we study the semi-symmetry and pseudo-symmetry of almost cosymplectic 3 -manifolds. First, we prove that an H -almost cosymplectic 3 -manifold M is semi-symmetric if and only if it is cosymplectic. Here by an H -almost cosymplectic 3 -manifold, we mean an almost cosymplectic 3 -manifold whose characteristic vector field ξ is a harmonic unit vector field. If an almost cosymplectic 3 -manifold M whose fundamental endomorphism field h is parallel in the direction of the characteristic vector field ξ ( ∇ ξ h = 0), then it is H -almost cosymplectic. In particular, an almost cosymplectic 3 -manifold M satisfying ∇ ξ h = 0 is semi-symmetric if and only if it is cosymplectic. Next, we prove that pseudo-symmetric H -almost cosymplectic 3 -manifolds are certain generalized almost cosymplectic (κ , μ , ν) -spaces.
- Subjects
VECTOR fields; ENDOMORPHISMS
- Publication
International Journal of Geometric Methods in Modern Physics, 2023, Vol 20, Issue 10, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S021988782350175X