Resumen de Homogeneity and Curvatures of Geodesic Spheres

José Carlos Díaz-Ramos , Eduardo García Río , Lieven Vanhecke

• We study some scalar curvature invariants on geodesic spheres and use them to characterize several kinds of Riemannian manifolds such as homogenous manifolds and in particular, the two-point homogeneous spaces and the Damek-Ricci spaces.