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Title:
Associative submanifolds of the Berger space
Speaker:
Abstract:
I will describe work (joint with Jesse Madnick) on the study of associative submanifolds of the Berger space SO(5)/SO(3) endowed with its homogeneous nearly parallel G2-structure. I will focus on two different classes of associative submanifold: the ruled associative submanifolds (where the ruling curves are a special type of homogeneous circle), and the associative submanifolds with special Gauss map (meaning that the tangent space has a larger-than-usual SO(3)-stabiliser). Study of the former class results in a construction of infinitely many diffeomorphism types of immersed ruled associative submanifolds.
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