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Cohomogeneity-one G2-Laplacian flow on the 7-torus

par Huang, Hongnian;Wang, Yuanqi;Yao, Chengjian
Référence Journal of the London Mathematical Society, 98, 2, page (349-368)
Publication Publié, 2018-10

Article révisé par les pairs

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Résumé :

We prove the hypersymplectic flow of simple type on standard torus (Formula presented.) exists for all time and converges to the standard flat structure modulo diffeomorphisms. This result in particular gives the first example of a cohomogeneity-one (Formula presented.) -Laplacian flow on a compact 7-manifold which exists for all time and converges to a torsion-free (Formula presented.) structure modulo diffeomorphisms.