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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2014, Volume 11, Pages 981–987 (Mi semr543)  
Geometry and topology

On $\mathrm{Spin(7)}$ Monge–Ampère type equations

Dmitry V. Egorov

Ammosov Northeastern federal university, Kulakovsky str. 48, 677000, Yakutsk, Russia
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Abstract: 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.
Received November 13, 2014, published December 19, 2014
Document Type: Article
UDC: 512.5
MSC: 13A99
Language: English
Citation: Dmitry V. Egorov, “On $\mathrm{Spin(7)}$ Monge–Ampère type equations”, Sib. Èlektron. Mat. Izv., 11 (2014), 981–987
Citation in format AMSBIB
\Bibitem{Ego14}
\by Dmitry~V.~Egorov
\paper On $\mathrm{Spin(7)}$ Monge--Amp\`{e}re type equations
\jour Sib. \`Elektron. Mat. Izv.
\yr 2014
\vol 11
\pages 981--987
\mathnet{http://mi.mathnet.ru/semr543}
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