Laplacian coflow of G_2-structures: Review and open questions.

Abstract: Geometric flows involving $G_2$-structures have proven to be valuable tools in the study of $G_2$-geometry. Some examples of the Laplacian coflow of $G_2$-structures have been developed on contact Calabi-Yau manifolds and Abelian Lie groups. In this flow on contact Calabi-Yau manifolds, it was shown that it exhibits a singularity, leading to metric and volume collapse. Additionally, we will explore some results obtained from the almost Abelian Lie groups in the Laplacian coflow, revealing that the solution converges to a torsion-free $G_2$-structure.

differential geometrygeometric topologymetric geometry

Audience: researchers in the topic

( paper | slides | video )

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Virtual seminar on geometry with symmetries

Series comments: Description: Research seminar in Lie group actions in Differential geometry.

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