Conjugate loci of pseudo-Riemannian 2-step nilpotent Lie groups with nondegenerate center

Click on the DOI link below to access the article (may not be free).We determine the complete conjugate locus along all geodesics parallel or perpendicular to the center (Theorem 2.3). When the center is one-dimensional we obtain formulas in all cases (Theorem 2.5), and when a certain operator is also diagonalizable these formulas become completely explicit (Corollary 2.7). These yield some new information about the smoothness of the pseudoriemannian conjugate locus. We also obtain the multiplicities of all conjugate points.Peer reviewe