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JOURNALS // Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports] // Archive
Sib. Èlektron. Mat. Izv., 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

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.

UDC: 512.5

MSC: 13A99

Received November 13, 2014, published December 19, 2014

Language: English


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