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arXiv · 2211.03887

Generating Axially Symmetric Minimal Hyper-surfaces in R^{1,3}

Jens Hoppe·Jaigyoung Choe·O. Teoman Turgut
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Abstract

It is shown that, somewhat similar to the case of classical Baecklund transformations for surfaces of constant negative curvature, infinitely many axially symmetric minimal hypersurfaces in 4-dimensional Minkowski-space can be obtained, in a non-trivial way, from any given one by combining the scaling symmetries of the equations in light cone coordinates with a non-obvious symmetry (the analogue of Bianchis original transformation) - which can be shown to be involutive/correspond to a space-reflection.

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Jens Hoppe, Jaigyoung Choe, O. Teoman Turgut. 2022-11-07. Generating Axially Symmetric Minimal Hyper-surfaces in R^{1,3}. https://arxiv.org/abs/2211.03887

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