PseudoH-type 2-step nilpotent Lie groups
classification
🧮 math.DG
keywords
pseudoh-typeabundancecharacterizationcompleteconjugatedeterminationdimensionalgeneralization
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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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