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Curvature of K-contact Semi-Riemannian Manifolds

  • Domenico Perrone (a1)

Abstract.

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.

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References

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Curvature of K-contact Semi-Riemannian Manifolds

  • Domenico Perrone (a1)

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