On nearly parallel $G_2$-manifolds

Abstract: A nearly parallel $G_2$-structure on a 7-manifold can be given by a 3-form $\phi$ of special algebraic type satisfying a differential equation $d\phi = \tau^* \phi$ for a non-zero constant $\tau$. We consider nearly parallel $G_2$-structures on the Aloff--Wallach spaces and on regular Sasaki--Einstein 7-manifolds. We give a construction and explicit examples of associative 3-folds (a particular type of minimal submanifolds) in these spaces.

Joint work with M. Fernández, A. Fino, and V. Muñoz.

mathematical physicsalgebraic topologydifferential geometryrepresentation theorystatistics theory

Audience: researchers in the topic

( slides | video )

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Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics

Series comments: Virtual coffee starts on Zoom already 15 minutes before the seminar.

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