Reeb flow symmetry on almost contact three-manifolds

DOI10.1016/j.difgeo.2014.05.002zbMath1319.53094OpenAlexW2084104730WikidataQ115356243 ScholiaQ115356243MaRDI QIDQ2351001

Jong Taek Cho, Makoto Kimura

Publication date: 26 June 2015

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2014.05.002

zbMATH Keywords

Lie groupReeb flowalmost contact 3-manifold

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Almost contact and almost symplectic manifolds (53D15)

Related Items (20)

Certain results on trans-paraSasakian 3-manifolds ⋮ Ricci collineations on 3-dimensional paracontact metric manifolds ⋮ Trans-Sasakian 3-manifolds with Reeb flow invariant Ricci operator ⋮ Reeb flow symmetry on 3-dimensional almost paracosymplectic manifolds ⋮ Ricci solitons on almost Kenmotsu 3-manifolds ⋮ Conformally flat almost Kenmotsu 3-manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Einstein-type metrics on almost Kenmotsu manifolds ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Kenmotsu manifolds satisfying the Fischer-Marsden equation ⋮ Characteristic Jacobi Operator on Almost Cosymplectic 3-Manifolds ⋮ Almost contact Riemannian three-manifolds with Reeb flow symmetry ⋮ A class of 3-dimensional almost Kenmotsu manifolds with harmonic curvature tensors ⋮ Almost Kenmotsu 3-\(h\)-manifolds with transversely Killing-type Ricci operators ⋮ Reeb flow invariant \(\ast\)-Ricci operators on trans-Sasakian three-manifolds ⋮ Cyclic-parallel Ricci tensors on a class of almost Kenmotsu 3-manifolds ⋮ Ricci soliton and Ricci almost soliton within the framework of Kenmotsu manifold

Cites Work

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• Classification of homogeneous almost cosymplectic three-manifolds
• Curvatures of left invariant metrics on Lie groups
• Contact 3-manifolds with the Reeb-flow symmetry
• Almost Kenmotsu manifolds and local symmetry
• Integrability of almost cosymplectic structures
• The automorphism groups of almost contact Riemannian manifolds
• A class of almost contact Riemannian manifolds
• Canonical foliations of certain classes of almost contact metric structures
• PSEUDO-SYMMETRIC CONTACT 3-MANIFOLDS
• Riemannian geometry of contact and symplectic manifolds

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