On the existence of homogeneous solitons of gradient type for the G$_2$-Laplacian flow

Anna Fino; Alberto Raffero

doi:10.1090/proc/16755

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arXiv · 2308.08951

On the existence of homogeneous solitons of gradient type for the G$_2$-Laplacian flow

Anna Fino·Alberto Raffero

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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.

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BibTeX RIS

Anna Fino, Alberto Raffero. 2023-08-17. On the existence of homogeneous solitons of gradient type for the G$_2$-Laplacian flow. https://doi.org/10.1090/proc/16755

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