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, threedimensional locally symmetric contact pseudo-metric manifolds and three-dimensional homogeneous contact Lorentzian manifolds.
Contact pseudo-metric manifolds
CALVARUSO, Giovanni;PERRONE, Domenico
2010-01-01
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, threedimensional locally symmetric contact pseudo-metric manifolds and three-dimensional homogeneous contact Lorentzian manifolds.File in questo prodotto:
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