Special directions on contact metric three-manifolds

DOI10.1007/BF01237485zbMath0990.53079MaRDI QIDQ1841871

Domenico Perrone

Publication date: 12 August 2002

Published in: Journal of Geometry (Search for Journal in Brave)

zbMATH Keywords

\(\xi \)-parallel torsionAnosov-like special directionscontact metric \(3\)- manifolds

Mathematics Subject Classification ID

General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Torsion and critical metrics on contact three-manifolds
• Torsion and deformation of contact metric structures on 3-manifolds
• Torsion tensor and critical metrics on contact \((2n + 1)\)-manifolds
• Contact manifolds in Riemannian geometry
• On 3-dimensional contact metric manifolds with \(\nabla_\xi\tau=0\)
• Tangent sphere bundles satisfying \(\nabla_ \xi \tau=0\)
• Classifying 3 and 4 dimensional homogeneous Riemannian manifolds by Cartan triples
• Anosov flows and non-Stein symplectic manifolds
• Homogeneity on three-dimensional contact metric manifolds
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Flots d'Anosov dont les feuilletages stables sont différentiables

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