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Singularities of generalized timelike minimal surfaces in Lorentz-Minkowski 3-space

Singularities of generalized timelike minimal surfaces in Lorentz-Minkowski 3-space

A timelike minimal surface in Minkowski 3-space is a surface whose induced metric is Lorentzian and with vanishing mean curvature. Such surfaces have many kinds of singularities. In this paper, we prove existence and non-existence theorems of singularities of timelike minimal surfaces, and show that various diffeomorphism types of singularities …