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Autor: Lopez, M. Castrillon, Calvaruso, G.

We consider Lie groups equipped with a left-invariant cyclic Lorentzian metric. As in the Riemannian case, in terms of homogeneous structures, such metrics can be considered as different as possible from bi-invariant metrics. We show that several res

Externí odkaz: http://arxiv.org/abs/1504.07801

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Three-dimensional Lorentzian homogeneous Ricci solitons

Autor: Brozos-Vazquez, M., Calvaruso, G., Garcia-Rio, E., Gavino-Fernandez, S.

We describe three-dimensional Lorentzian homogeneous Ricci solitons, showing that all types (i.e. shrinking, expanding and steady) exist. Moreover, all non-trivial examples have non-diagonalizable Ricci operator with one only eigenvalue.

Externí odkaz: http://arxiv.org/abs/0911.1247

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Harmonic sections of tangent bundles equipped with Riemannian $g$-natural metrics

Autor: Abbassi, M. T. K., Calvaruso, G., Perrone, D.

Let $(M,g)$ be a Riemannian manifold. When $M$ is compact and the tangent bundle $TM$ is equipped with the Sasaki metric $g^s$, the only vector fields which define harmonic maps from $(M,g)$ to $(TM,g^s)$, are the parallel ones. The Sasaki metric, an

Externí odkaz: http://arxiv.org/abs/0710.3668

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