PseudoH-type 2-step nilpotent Lie groups

2003/07/28 by C. Jang, K. Park, P. E. Parker
Mathematics · #math.DG #msc:53C50 #msc:22E25 #msc:53B30 #msc:53C30

paper · pdf

published as Houston J. Math. 31 (2005) 765--786 · tp+23 pp

arxiv created 2003/07/28 · arxiv updated 2009/12/01

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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