Contact pseudo-metric manifolds

By Giovanni Calvaruso, D. Perrone. 2010

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Abstract We introduce a systematic study of contact structures with pseudo-Riemannian associated metrics, emphasizing analogies and differences with respect to the Riemannian case. In particular, we classify contact pseudo-metric manifolds of constant sectional curvature, three-dimensional locally symmetric contact pseudo-metric manifolds and three-dimensional homogeneous contact Lorentzian manifolds.

Subfields: Applied Mathematics, Geometry and Topology, Orthopedics and Sports Medicine

View Paper: https://www.semanticscholar.org/paper/d57ee3f115a8fc534a9b510b1c3597bd855568e8