Laplacian solitons on nilpotent Lie groups
| Autor: | Nicolini, Marina |
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| Rok vydání: | 2016 |
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| Druh dokumentu: | Working Paper |
| Popis: | We investigate the existence of closed $G_2$-structures which are solitons for the Laplacian flow on nilpotent Lie groups. We obtain that seven of the twelve Lie algebras admitting a closed $G_2$-structure do admit a Laplacian soliton. Moreover, one of them admits a continuous family of Laplacian solitons which are pairwise non-homothetic and the Laplacian flow evolution of four of them is not diagonal. Comment: 12 pages |
| Databáze: | arXiv |
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