Abstract
AbstractWe 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.
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