Geodesic
Curvature of K-contact Semi-Riemannian Manifolds
Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 401-412

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper we characterize $K$ -contact semi-Riemannian manifolds and Sasakian semi-Riemannian manifolds in terms of curvature. Moreover, we show that any conformally flat $K$ -contact semi-Riemannian manifold is Sasakian and of constant sectional curvature $\kappa \,=\,\varepsilon$ , where $\varepsilon \,=\,\pm 1$ denotes the causal character of the Reeb vector field. Finally, we give some results about the curvature of a $K$ -contact Lorentzian manifold.
DOI : 10.4153/CMB-2013-016-7
Mots-clés : 53C50, 53C25, 53B30, contact semi-Riemannian structures, K-contact structures, conformally flat manifolds, Einstein Lorentzian-Sasaki manifolds 
Perrone, Domenico. Curvature of K-contact Semi-Riemannian Manifolds. Canadian mathematical bulletin, Tome 57 (2014) no. 2, pp. 401-412. doi: 10.4153/CMB-2013-016-7
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