49 citations · 183 across the 35 of their papers we have counts for
3 papers · 1 filter
Homothety Curvature Homogeneity
E. García-Río, P. Gilkey, S. Nikčević
We examine the difference between several notions of curvature homogeneity and show that the notions introduced by Kowalski and Vanžurová are genuine generalizations of the ordinar…
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…
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…