Amores Lázaro, Ángel MiguelGutiérrez, M2023-06-202023-06-201992-120001-770110.1007/BF02418211https://hdl.handle.net/20.500.14352/57149A reductive homogeneous space M = P/G is considered, endowed with an invariant connection, i.e., such that all left translations of M induced by members of P preserve it. We study the set of singularities of such connections giving sufficient conditions for it to be empty, or, in other cases, families of b-incomplete curves converging to singularities. A full description of the b-completion of a connection with M = R(m) (or a quotient of it) is given with information on its topology.engjournal articlehttp://agt.cie.uma.es/~mgl/Investigacion/1992GenerRelatAndGravit/1992GRG.pdfrestricted access52Astronomy & AstrophysicsPhysicsMultidisciplinaryParticles & FieldsAstronomía (Matemáticas)21 Astronomía y Astrofísica