On the existence of homogeneous solitons of gradient type for the G_{2}-Laplacian flow

Fino, Anna; Raffero, Alberto

doi:10.1090/proc/16755

On the existence of homogeneous solitons of gradient type for the G$_{\mathbf 2}$-Laplacian flow
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by Anna Fino and Alberto Raffero;

Proc. Amer. Math. Soc. 152 (2024), 2199-2204

DOI: https://doi.org/10.1090/proc/16755

Published electronically: March 25, 2024

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Abstract:

In this note, we prove the existence of homogeneous gradient solitons for the G$_2$-Laplacian flow by providing the first known example of this type. This result singles out the G$_2$-Laplacian flow as the first known geometric flow admitting homogeneous gradient solitons on spaces that are one-dimensional extensions in the sense of Petersen and Wylie [Differential Geom. Appl. 84 (2022), Paper No. 101929, 29].

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