Geodesic
On $\mathrm{Spin(7)}$ Monge--Amp\`{e}re type equations
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 981-987

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In this paper we define the Monge–Ampère type equation on spaces equipped with the $\mathrm{Spin(7)}$-structure. We express the equation in octonionic coordinates and prove its ellipticity.
Keywords: Monge–Ampère equation, $\mathrm{Spin(7)}$-manifolds. 
@article{SEMR_2014_11_a47,
     author = {Dmitry V. Egorov},
     title = {On $\mathrm{Spin(7)}$ {Monge--Amp\`{e}re} type equations},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {981--987},
     publisher = {mathdoc},
     volume = {11},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2014_11_a47/}
}
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Dmitry V. Egorov. On $\mathrm{Spin(7)}$ Monge--Amp\`{e}re type equations. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 11 (2014), pp. 981-987. http://geodesic.mathdoc.fr/item/SEMR_2014_11_a47/