In this note, we prove the existence of homogeneous gradient solitons for the G2 -Laplacian flow by providing the first known example of this type. This result singles out the G2 -Laplacian flow as the first known geometric flow admitting homogeneous gradient solitons on spaces that are onedimensional extensions in the sense of Petersen and Wylie
On the existence of homogeneous solitons of gradient type for the G_2-Laplacian flow
Fino, Anna;Raffero, Alberto
2024-01-01
Abstract
In this note, we prove the existence of homogeneous gradient solitons for the G2 -Laplacian flow by providing the first known example of this type. This result singles out the G2 -Laplacian flow as the first known geometric flow admitting homogeneous gradient solitons on spaces that are onedimensional extensions in the sense of Petersen and Wylie
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