paper

PseudoH-type 2-step nilpotent Lie groups

arXiv:math/0307368

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.

tp+23 pp