English

PseudoH-type 2-step nilpotent Lie groups

Differential Geometry 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0307368,
  title  = {PseudoH-type 2-step nilpotent Lie groups},
  author = {C. Jang and K. Park and P. E. Parker},
  journal= {arXiv preprint arXiv:math/0307368},
  year   = {2007}
}

Comments

tp+23 pp