On the geometry of almost contact metric manifolds of Kenmotsu type

DOI10.1016/J.DIFGEO.2011.04.008zbMath1225.53027OpenAlexW1991684912WikidataQ115356917 ScholiaQ115356917MaRDI QIDQ719816

Giulia Dileo

Publication date: 12 October 2011

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.008

zbMATH Keywords

locally symmetric spacesnullity distributions\(\eta \)-parallel structures\(D\)-homothetic deformationsalmost \(\alpha \)-Kenmotsu manifolds

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35)

Related Items (7)

Classification of homogeneous almost \(\alpha\)-coKähler three-manifolds ⋮ Almost Kenmotsu 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Left-invariant almost α-coKähler structures on 3D semidirect product Lie groups ⋮ Locally symmetric CR-integrable almost Kenmotsu manifolds ⋮ Almost contact Riemannian three-manifolds with Reeb flow symmetry ⋮ THREE-DIMENSIONAL ALMOST $\alpha$-PARA-KENMOTSU MANIFOLDS SATISFYING CERTAIN NULLITY CONDITIONS ⋮ A Study of New Class of Almost Contact Metric Manifolds of Kenmotsu Type

Cites Work

• \(\eta\)-parallel contact metric spaces
• A classification of certain almost \(\alpha \)-Kenmotsu manifolds
• Almost Kenmotsu manifolds with a condition of \(\eta \)-parallelism
• Pseudo-Hermitian symmetries
• Almost Kenmotsu manifolds and nullity distributions
• Contact manifolds in Riemannian geometry
• A full classification of contact metric \((k,\mu)\)-spaces
• Contact metric manifolds satisfying a nullity condition
• Almost Kenmotsu manifolds and local symmetry
• Locally symmetric contact metric manifolds
• The topology of contact Riemannian manifolds
• 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
• Locally conformal almost cosymplectic manifolds
• Riemannian geometry of contact and symplectic manifolds

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