Autor:	Nicolini, Marina
Rok vydání:	2020
Předmět:	Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	We give a one-parameter family of examples of shrinking Laplacian solitons, which are the second known solutions to the closed $G_2$-Laplacian flow with a finite-time singularity. The torsion forms and the Laplacian and Ricci operators of a large family of $G_2$-structures on different Lie groups are also studied. We apply these formulas to prove that, under a suitable extra condition, there is no closed eigenform for the Laplacian on such family. Comment: 17 pages, 1 figure
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.13074 Zobrazit plný text záznamu View this record from Arxiv