2006Proceedings of the American Mathematical SocietyOpen access

A family of maximal surfaces in Lorentz-Minkowski three-space

Young Wook Kim, Seong-Deog Yang

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Abstract

We prove the existence of an infinite family of complete spacelike maximal surfaces with singularities in Lorentz-Minkowski three-space and study their properties. These surfaces are distinguished by their number of handles and have two elliptic catenoidal ends.

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We prove the existence of an infinite family of complete spacelike maximal surfaces with singularities in Lorentz-Minkowski three-space and study their properties. These surfaces are distinguished by their number of handles and have two elliptic catenoidal ends.

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We prove the existence of an infinite family of complete spacelike maximal surfaces with singularities in Lorentz-Minkowski three-space and study their properties. These surfaces are distinguished by their number of handles and have two elliptic catenoidal ends.

Key concepts: Minkowski space, Lorentz transformation, Gravitational singularity, Hyperboloid model, Mathematics, Space (punctuation), Lorentz space, Pure mathematics

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