Laplacian coflows of $\hbox {G}_{2}$-structures on contact Calabi–Yau 7-manifolds

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2025年7月26日

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Henrique N. Sá Earp,
Julieth Saavedra,
Caleb Suan

摘要

We explore three versions of the Laplacian coflow of $\textrm{G}_2$ $G_{2}$ -structures on circle fibrations over Calabi–Yau 3-folds, interpreting their dimensional reductions to the Kähler geometry of the base. Precisely, we reduce Ansätze for the Laplacian coflow, modified or not by DeTurck’s trick, both on trivial products $CY^3\times S^1$ $C Y^{3} \times S^{1}$ and on contact Calabi–Yau 7-manifolds, obtaining in each case a natural modification of the Kähler–Ricci flow.

Laplacian coflows of \(\hbox {G}_{2}\)-structures on contact Calabi–Yau 7-manifolds

摘要