Abstract:
In this short survey we give a background and explain some recent developments in algebraic minimal cones and nonassociative algebras. A part of this paper is recollections of my collaboration with my teacher, PhD supervisor and a colleague, Vladimir Miklyukov on minimal surface theory that motivated the present research.
Citation:
V. G. Tkachev, “V.M. Miklyukov: from dimension 8 to nonassociative algebras”, Mathematical Physics and Computer Simulation, 22:2 (2019), 33–50
\Bibitem{Tka19}
\by V.~G.~Tkachev
\paper V.M. Miklyukov: from dimension 8 to nonassociative algebras
\jour Mathematical Physics and Computer Simulation
\yr 2019
\vol 22
\issue 2
\pages 33--50
\mathnet{http://mi.mathnet.ru/vvgum253}
\crossref{https://doi.org/10.15688/mpcm.jvolsu.2019.2.3}
Linking options:
https://www.mathnet.ru/eng/vvgum253
https://www.mathnet.ru/eng/vvgum/v22/i2/p33
This publication is cited in the following 2 articles:
Daniel J. F. Fox, “Harmonic cubic homogeneous polynomials such that the norm-squared of the Hessian is a multiple of the Euclidean quadratic form”, Anal.Math.Phys., 11:1 (2021)
Tom De Medts, Simon F. Peacock, Sergey Shpectorov, Michiel Van Couwenberghe, “Decomposition algebras and axial algebras”, Journal of Algebra, 556 (2020), 287