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

Kim, Young; Yang, Seong-Deog

doi:10.1090/S0002-9939-06-08543-1

A family of maximal surfaces in Lorentz-Minkowski three-space
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by Young Wook Kim and Seong-Deog Yang PDF

Proc. Amer. Math. Soc. 134 (2006), 3379-3390 Request permission

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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