PseudoH-type 2-step nilpotent Lie groups

Mathematics – Differential Geometry

Scientific paper

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tp+23 pp

Scientific paper

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. We also obtain a partial characterization in
terms of the abundance of totally geodesic, 3-dimensional submanifolds.

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