Abstract.
The complex two-plane Grassmannian G 2(C m+2 in equipped with both a Kähler and a quaternionic Kähler structure. By applying these two structures to the normal bundle of a real hypersurface M in G 2(C m+2 one gets a one- and a three-dimensional distribution on M. We classify all real hypersurfaces M in G 2 C m+2, m≥3, for which these two distributions are invariant under the shape operator of M.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Author information
Authors and Affiliations
Additional information
Received 13 November 1996; in revised form 3 March 1997
Rights and permissions
About this article
Cite this article
Berndt, J., Suh, Y. Real Hypersurfaces in Complex Two-Plane Grassmannians. Mh Math 127, 1–14 (1999). https://doi.org/10.1007/s006050050018
Issue Date:
DOI: https://doi.org/10.1007/s006050050018