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4-dimensional conformal structures with G2-symmetric twistor distribution

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TWT - Twistor theory

The self-dual twistor distribution of a 4-dimensional split-conformal manifoldis an induced rank 2 distribution on the 5-dimensional space of all real self-dualnull 2-planes. There are known examples of such distributions whose symmetry algebrais the exceptional Lie algebra of type G2. In this talk we present a classificationof a class of conformal structures with G2-symmetric twistor distributions and discusssome of their properties (Einstein scales, holonomy,...). This is joint work with PawełNurowski and Dennis The.

This talk is part of the Isaac Newton Institute Seminar Series series.

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