Some new 3-Sasakian manifolds in dimension 11 and 15
by
Paolo Piccinni
Universita' di Roma "La Sapienza", Italy
Coauthors: Charles P. Boyer (New Mexico), Krzysztof Galicki (New Mexico)

Oral Communication

In 1993 Kobak and Swann gave an example of quaternion Kähler reduction which yields a Z₃-quotient of the exceptional Wolf space G₂/SO(4) by an action of U(1) x Sp(1) on the quaternionic projective space H P⁶. This communication will deal with a reexamination of Kobak-Swann construction at the 3-Sasakian level, and with the corresponding weighted actions, that produce some new 11-dimensional 3-Sasakian manifolds under some arithmetic conditions. A similar weighted construction is carried out in dimension 15, in relation with the group Spin(7). In both cases, the obtained 3-Sasakian manifolds are shown to be neither homogeneous nor toric.

Date received: June 20, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafh-30.