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PseudoH-type 2-step nilpotent Lie groups

C. Jang·K. Park·P. E. Parker
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Abstract

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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C. Jang, K. Park, P. E. Parker. 2003-07-28. PseudoH-type 2-step nilpotent Lie groups. https://arxiv.org/abs/math/0307368

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