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Iterated collapsing phenomenon on \(G_2\)-manifolds

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Publication:2159155

DOI10.4310/PAMQ.2022.V18.N3.A5zbMATH Open1498.53074arXiv2011.11168OpenAlexW3109407722MaRDI QIDQ2159155

Author name not available (Why is that?)

Publication date: 28 July 2022

Published in: (Search for Journal in Brave)

Abstract: We propose a new collapsing mechanism for G2-metrics, with the generic region admitting a circle bundle structure over a K3 fibration over a Riemann surface. The adiabatic description involves a weighted version of the maximal submanifold equation. In a local smooth setting we prove the existence of formal power series solutions, and the problem of compactification is discussed at a heuristic level. The Spin(7) analogue is also discussed.


Full work available at URL: https://arxiv.org/abs/2011.11168




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