Remarks on homogeneous solitons of the $\protect \mathrm{G}_{2}$-Laplacian flow

Anna Fino; Alberto Raffero

doi:10.5802/crmath.39

Géométrie différentielle

Remarks on homogeneous solitons of the

G_{2}

-Laplacian flow

Anna Fino ¹ ; Alberto Raffero ¹

¹ Dipartimento di Matematica “G. Peano”, Università degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 401-406.

Résumé

We show the existence of expanding solitons of the $G_{2}$ -Laplacian flow on non-solvable Lie groups, and we give the first example of a steady soliton that is not an extremally Ricci pinched $G_{2}$ -structure.

Reçu le : 2019-09-16
Révisé le : 2020-03-10
Accepté le : 2020-03-16
Publié le : 2020-07-28

DOI : 10.5802/crmath.39

Affiliations des auteurs :

Anna Fino ¹ ; Alberto Raffero ¹

¹ Dipartimento di Matematica “G. Peano”, Università degli Studi di Torino, Via Carlo Alberto 10, 10123 Torino, Italy

Licence :

CC-BY 4.0

Droits d'auteur : Les auteurs conservent leurs droits

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     author = {Anna Fino and Alberto Raffero},
     title = {Remarks on homogeneous solitons of the $\protect \mathrm{G}_{2}${-Laplacian} flow},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {401--406},
     publisher = {Acad\'emie des sciences, Paris},
     volume = {358},
     number = {4},
     year = {2020},
     doi = {10.5802/crmath.39},
     language = {en},
}

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Anna Fino; Alberto Raffero. Remarks on homogeneous solitons of the $\protect \mathrm{G}_{2}$-Laplacian flow. Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 401-406. doi : 10.5802/crmath.39. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.39/

Bibliographie
Cité par

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