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arXiv · 2007.01657

Deformations of nearly $G_2$-structures

Paul-Andi Nagy·Uwe Semmelmann
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Abstract

We describe the second order obstruction to deformation for nearly $G_2$ structures on compact manifolds. Building on work of B.Alexandrov and U.Semmelmann this allows proving rigidity under deformation for the proper nearly $G_2$ structure on the Aloff-Wallach space $N(1,1)$.

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Paul-Andi Nagy, Uwe Semmelmann. 2020-07-24. Deformations of nearly $G_2$-structures. https://arxiv.org/abs/2007.01657

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