Considering the notion of Jacobi type vector fields for a real hypersurface in a complex two-plane Grassmannian, we prove that if a structure vector field is of Jacobi type it is Killing. As a consequence we classify real hypersurfaces whose structure vector field is of Jacobi type.
@article{bwmeta1.element.doi-10_2478_s11533-012-0004-z,
author = {Carlos Machado and Juan P\'erez},
title = {On the structure vector field of a real hypersurface in complex two-plane Grassmannians},
journal = {Open Mathematics},
volume = {10},
year = {2012},
pages = {451-455},
zbl = {1247.53074},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0004-z}
}
Carlos Machado; Juan Pérez. On the structure vector field of a real hypersurface in complex two-plane Grassmannians. Open Mathematics, Tome 10 (2012) pp. 451-455. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0004-z/
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