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math.DG2003★ 12 cited
PseudoH-type 2-step nilpotent Lie groups
C. Jang, K. Park, P. E. Parker
PseudoH-type is a natural generalization of H-type to geometries with indefinite metric tensors. We give a complete determination of the conjugate locus including multiplicities. W…
math.DG2003
Conjugate loci of pseudoriemannian 2-step nilpotent Lie groups with nondegenerate center
Changrim Jang, Phillip E. Parker
We determine the complete conjugate locus along all geodesics parallel or perpendicular to the center (Theorem 2.3). When the center is 1-dimensional we obtain formulas in all case…