Torsion and critical metrics on contact three-manifolds

DOI10.2996/KMJ/1138039163zbMath0709.53034OpenAlexW1976501905MaRDI QIDQ921611

Domenico Perrone

Publication date: 1990

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138039163

zbMATH Keywords

contact manifoldEinstein metricspositive curvaturecritical metricsWebster scalar curvature

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Critical metrics (58E11) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Related Items (13)

Sasakian structure associated with a second-order ODE and Hamiltonian dynamical systems ⋮ Geometry of Kaluza-Klein metrics on the sphere \(\mathbb S^3\) ⋮ Contact 3-manifolds with pseudo-parallel characteristic Jacobi operator ⋮ Homogeneity on three-dimensional contact metric manifolds ⋮ Spaces of Riemannian metrics ⋮ Torsion tensor and critical metrics on contact \((2n + 1)\)-manifolds ⋮ On the pseudohermitian curvature of contact semi-Riemannian manifolds ⋮ Contact semi-Riemannian structures in CR geometry: some aspects ⋮ A classification of 3-dimensional contact metric manifolds with \(Q\phi=\phi Q\) ⋮ Special directions on contact metric manifolds of negative \(\xi\)-sectional curvature ⋮ Special directions on contact metric three-manifolds ⋮ Torsion and homogeneity on contact metric three-manifolds ⋮ Tangent sphere bundles satisfying \(\nabla_ \xi \tau=0\)

Cites Work

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• Torsion and deformation of contact metric structures on 3-manifolds
• Contact manifolds in Riemannian geometry
• Remarks concerning contact manifolds
• When is the tangent sphere bundle conformally flat?
• Three-manifolds with positive Ricci curvature
• Some decompositions of the space of symmetric tensors on a Riemannian manifolds
• Nonnegatively Curved Contact Manifolds
• Variational Problems on Contact Riemannian Manifolds
• Locally symmetric $K$-contact Riemannian manifolds

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