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arXiv · 1612.06757

Existence of maximal surface containing given curve and special singularity

Rukmini Dey·Pradip Kumar·Rahul Kumar Singh
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Abstract

We give a different formulation for describing maximal surfaces in Lorentz-Minkowski space, $\mathbb{L}^3$, using the identification of $\mathbb L^3$ with $\mathbb C\times \mathbb R$. Further we give a different proof for the singular Bj\"orling problem for the case of closed real analytic null curve. As an application, we show the existence of maximal surface which contains a given curve and has a special singularity.

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Rukmini Dey, Pradip Kumar, Rahul Kumar Singh. 2016-12-20. Existence of maximal surface containing given curve and special singularity. https://arxiv.org/abs/1612.06757

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