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

Young Wook Kim; Seong Deog Yang

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

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

Young Wook Kim, Seong Deog Yang

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

17 Citations (Scopus)

Abstract

We prove the existence of an infinite family of complete space-like 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.

Original language	English
Pages (from-to)	3379-3390
Number of pages	12
Journal	Proceedings of the American Mathematical Society
Volume	134
Issue number	11
DOIs	https://doi.org/10.1090/S0002-9939-06-08543-1
Publication status	Published - 2006 Nov

Keywords

Elliptic catenoidal ends
Lorentz-Minkowski space
Spacelike maximal surface

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-06-08543-1

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abstract = "We prove the existence of an infinite family of complete space-like 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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AB - We prove the existence of an infinite family of complete space-like 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.

KW - Elliptic catenoidal ends

KW - Lorentz-Minkowski space

KW - Spacelike maximal surface

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

Abstract

Keywords

ASJC Scopus subject areas

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