# Einstein manifolds as focal sets of hypersurface families in CP^n

#### by Owen Dearricott

Institution: University of Melbourne
Date: Tue 31st January 2006
Time: 3:00 PM
Location: Room 213, Richard Berry Building, The University of Melbourne

Abstract: The CR geometry of focal sets of hypersurface families in CP^n in certain
circumstances force the submanifold to be the total space of a Riemannian
submersion with totally geodesic fibres, to be Einstein and have many
other interesting geometric characteristics. Surprisingly infinitely many
compact inhomogeneous Einstein manifolds arise this way.