Explicit self-similar solutions of time-like extremal hypersurfaces in $\mathbb{R}^{1+3}$

Weiping Yan

arxiv: 1708.06289 · v2 · pith:47TUIB6Nnew · submitted 2017-08-21 · 🧮 math.AP · math.DG

Explicit self-similar solutions of time-like extremal hypersurfaces in mathbb{R}¹⁺³

Weiping Yan This is my paper

classification 🧮 math.AP math.DG

keywords explicitextremalhypersurfacesself-similarsolutionstime-likemathbbaround

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In this letter, two explicit self-similar solutions to a graph representation of time-like extremal hypersurfaces in Minkowski spacetime $\mathbb{R}^{1+3}$ are given. Meanwhile, there is an untable eigenvalue in the linearized time-like extremal hypersurfaces equation around two explicit self-similar solutions.

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Explicit self-similar solutions of time-like extremal hypersurfaces in mathbb{R}¹⁺³

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