Beschreibung:
<jats:title>Abstract</jats:title><jats:p>We refine the affine classification of real nets of quadrics in order to obtain generic curvature loci of regular 3‐manifolds in and singular corank one 3‐manifolds in . For this, we characterize the type of the curvature locus by the number and type of solutions of a system of equations given by four ternary cubics (which is a determinantal variety in some cases). We also study how singularities of the curvature locus of a regular 3‐manifold can go to infinity when the manifold is projected orthogonally in a tangent direction.</jats:p>