We study the behaviour of the curvature locus of a 3-manifold immersed in R-n, n >= 5, describing their possible topological types at the different points of a 3-manifold immersed in R-6. We analyze the connections between the structure of the curvature locus with the behaviour of the principal configurations associated to normal fields on the 3-manifold, as well as with the local convexity of the 3-manifold.675254413th International Workshop on Real and Complex SingularitiesJUL 27-AUG 08, 2014Univ Sao Paulo, Scn Carlos, BRAZIL