Non-existence of flat paracontact metric structures in dimension greater than or equal to five

zbMath1474.53189arXiv0910.5838MaRDI QIDQ4993790

Vassil Vassilev Tzanov, Simeon Zamkovoy

Publication date: 16 June 2021

Full work available at URL: https://arxiv.org/abs/0910.5838

zbMATH Keywords

paracontact metric manifoldintegral submanifoldmaximal integral submanifold

Mathematics Subject Classification ID

Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Contact manifolds (general theory) (53D10) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

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Cites Work

• Unnamed Item
• Conformal paracontact curvature and the local flatness theorem
• Contact manifolds in Riemannian geometry
• A characterization of contact transformations
• Almost paracontact and parahodge structures on manifolds
• Riemannian geometry of contact and symplectic manifolds

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