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math.DG2025

Geometric realizations of the Lie superalgebra D(2,1;a)

Anna Escofet, Boris Kruglikov, Dennis The

For every parabolic subgroup $P$ of a Lie supergroup $G$ , the homogeneous superspace $G / P$ carries a $G$ -invariant supergeometry. We address the question whether $\mathfrak{g}=\tex…

math.DG2024

Conformal structures with $G_{2}$ -symmetric twistor distribution

Pawel Nurowski, Katja Sagerschnig, Dennis The

For any 4D split-signature conformal structure, there is an induced twistor distribution on the 5D space of all self-dual totally null 2-planes, which is $(2, 3, 5)$ when the conform…

math.DG2024

Symmetries of $(2, 3, 5)$ -distributions and associated Legendrian cone structures

Jun-Muk Hwang, Dennis The

We exploit a natural correspondence between holomorphic $(2, 3, 5)$ -distributions and nondegenerate lines on holomorphic contact manifolds of dimension $5$ to present a new perspecti…

Geometric realizations of the Lie superalgebra D(2,1;a)

Conformal structures with G2​-symmetric twistor distribution

Symmetries of (2,3,5)-distributions and associated Legendrian cone structures

Conformal structures with $G_{2}$ -symmetric twistor distribution

Symmetries of $(2, 3, 5)$ -distributions and associated Legendrian cone structures