Hypersurfaces in the noncompact Grassmann manifold SU_{2,m}/S(U_2U_m)
Differential Geometry
2009-11-17 v1
Abstract
The Riemannian symmetric space SU_{2,m}/S(U_2U_m) is both Hermitian symmetric and quaternionic Kahler symmetric. Let M be a hypersurface in SU_{2,m}/S(U_2U_m) and denote by TM its tangent bundle. The complex structure of SU_{2,m}/S(U_2U_m) determines a maximal complex subbundle C of TM, and the quaternionic structure of SU_{2,m}/S(U_2U_m) determines a maximal quaternionic subbundle Q of TM. In this article we investigate hypersurfaces in SU_{2,m}/S(U_2U_m) for which C and Q are closely related to the shape of M.
Keywords
Cite
@article{arxiv.0911.3081,
title = {Hypersurfaces in the noncompact Grassmann manifold SU_{2,m}/S(U_2U_m)},
author = {Jurgen Berndt and Young Jin Suh},
journal= {arXiv preprint arXiv:0911.3081},
year = {2009}
}
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28 pages