Contact Semi-Riemannian Structures in CR Geometry: Some Aspects
Dipartimento di Matematica e Fisica “E. De Giorgi”, Universitá del Salento, Via Provinciale Lecce-Arnesano, 73100 Lecce, Italy
Received: 26 September 2018 / Revised: 20 December 2018 / Accepted: 2 January 2019 / Published: 9 January 2019
There is one-to-one correspondence between contact semi-Riemannian structures
and non-degenerate almost CR structures
. In general, a non-degenerate almost CR structure is not a CR structure, that is, in general the integrability condition for
is not satisfied. In this paper we give a survey on some known results, with the addition of some new results, on the geometry of contact semi-Riemannian manifolds, also in the context of the geometry of Levi non-degenerate almost CR manifolds of hypersurface type, emphasizing similarities and differences with respect to the Riemannian case.
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Perrone, D. Contact Semi-Riemannian Structures in CR Geometry: Some Aspects. Axioms 2019, 8, 6.
Perrone D. Contact Semi-Riemannian Structures in CR Geometry: Some Aspects. Axioms. 2019; 8(1):6.
Perrone, Domenico. 2019. "Contact Semi-Riemannian Structures in CR Geometry: Some Aspects." Axioms 8, no. 1: 6.
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