Energy functionals and soliton equations for G_2-forms

Details Energy functionals and soliton equations for G_2-forms Energy functionals and soliton equations for G_2-forms

2012-01-05

arxiv.org/abs/1201.1208v1

Mathematics

Differential Geometry

22 pages

Scientific paper

We extend short-time existence and stability of the Dirichlet energy flow as proven in a previous paper by the authors to a broader class of energy functionals. Furthermore, we derive some monotonely decreasing quantities for the Dirichlet energy flow and investigate an equation of soliton type. In particular, we show that nearly parallel G_2-structures satisfy this soliton equation and study their infinitesimal soliton deformations.

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