Isometry groups of k-curvature homogeneous pseudo-Riemannian manifolds

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75341We study the isometry groups and Killing vector fields of a family of pseudo-Riemannian metrics on Euclidean space which have neutral signature (3+2p,3+2p). All are p+2 curvature homogeneous, all have vanishing Weyl scalar invariants, all are geodesically complete, and all are 0-curvature modeled on an indecomposible symmetric space. Some of these manifolds are not p+3 curvature homogeneous. Some are homogeneous but not symmetric.Differential Geometry53B20Isometry groups of k-curvature homogeneous pseudo-Riemannian manifoldstext