49 citations · 73 across the 11 of their papers we have counts for
3 papers · 1 filter
Geometric properties of generalized symmetric spaces
E. Calviño-Louzao, E. García-Río, M. E. Vázquez-Abal +1
It is shown that four-dimensional generalized symmetric spaces can be naturally equipped with some additional structures defined by means of their curvature operators. As an applic…
Homogeneous Cotton solitons
E. Calviño-Louzao, L. M. Hervella, J. Seoane-Bascoy +1
Left-invariant Cotton solitons on homogeneous manifolds are determined. Moreover, algebraic Cotton solitons are studied providing examples of non-invariant Cotton solitons, both in…
Three-dimensional conformally symmetric manifolds
E. Calviño-Louzao, E. García-Río, J. Seoane-Bascoy +1
The non-existence of non-trivial conformally symmetric manifolds in the three-dimensional Riemannian setting is shown. In Lorentzian signature, a complete local classification is o…