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# Lorenzo Foscolo : New G2-holonomy cones and exotic nearly Kähler structures on the 6-sphere and the product of two 3-spheres.

Compact 6-dimensional nearly Kähler manifolds are the cross-sections of Riemannian cones with holonomy G2. A long-standing problem has been the question of existence of complete nearly Kähler 6-manifolds besides the four known homogeneous ones. We resolve this problem by proving the existence of exotic (inhomogeneous) nearly Kähler structures on the 6-sphere and on the product of two 3-spheres. This is joint work with Mark Haskins, Imperial College London.

**Category**: Geometry and Topology**Duration**: 01:34:50**Date**: January 20, 2015 at 4:25 PM**Views**: 187-
**Tags:**seminar, Geometry/topology Seminar

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