PseudoH-type 2-step nilpotent Lie groups

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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.
tp+23 pp

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Differential Geometry, 53C50 primary, 22E25, 53B30, 53C30 secondary

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http://salesiana.dossiersoluciones.com/handle/123456789/68193

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0307368
 http://arxiv.org/abs/math/0307368
 Houston J. Math. 31 (2005) 765--786

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arXiv