Citation
J. Berndt et Yj. Suh, Real hypersurfaces in complex two-plane Grassmannians, MONATS MATH, 127(1), 1999, pp. 1-14
Citations number
2
Categorie Soggetti
Mathematics
Journal title
MONATSHEFTE FUR MATHEMATIK
ISSN journal
00269255
→ ACNP
Volume
127
Issue
1
Year of publication
1999
Pages
1 - 14
Database
ISI
SICI code
0026-9255(1999)127:1<1:RHICTG>2.0.ZU;2-6
Abstract
The complex two-plane Grassmannian G(2)(Cm+2) in equipped with both a Kahle
r and a quaternionic Kahler structure. By applying these two structures to
the normal bundle of a real hypersurface M in G(2)(Cm+2) one gets a one- an
d a three-dimensional distribution on M. We classify all real hypersurfaces
M in G(2)(Cm+2), m greater than or equal to 3, for which these two distrib
utions are invariant under the shape operator of M.