Bianchi type IX M-branes

We present new M2- and M5-brane solutions in M-theory based on transverse self-dual Bianchi type IX space. All the other recently M2- and M5-branes constructed on transverse self-dual Taub-NUT, Egughi-Hanson and Atiyah-Hitchin spaces are special cases of this solution. The solution provides a smooth transition from Eguchi-Hanson type I based M-branes to corresponding branes based on Eguchi-Hanson type II space. All the solutions can be reduced down to ten-dimensional fully localized intersecting brane configurations.