Spacelike maximal surfaces, timelike minimal surfaces, and björling representation formulae

Young Wook Kim; Sung Eun Koh; Heayong Shin; Seong Deog Yang

doi:10.4134/JKMS.2011.48.5.1083

Spacelike maximal surfaces, timelike minimal surfaces, and björling representation formulae

Young Wook Kim, Sung Eun Koh, Heayong Shin, Seong Deog Yang

Department of Mathematics

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

28 Citations (Scopus)

Abstract

We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bjöorling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the explanation of this phenomenon.

Original language	English
Pages (from-to)	1083-1100
Number of pages	18
Journal	Journal of the Korean Mathematical Society
Volume	48
Issue number	5
DOIs	https://doi.org/10.4134/JKMS.2011.48.5.1083
Publication status	Published - 2011 Sept

Keywords

Bjöorling representation formula
Spacelike maximal surface
Timelike minimal surface

ASJC Scopus subject areas

General Mathematics

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10.4134/JKMS.2011.48.5.1083

Cite this

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abstract = "We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bj{\"o}orling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the explanation of this phenomenon.",

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AU - Kim, Young Wook

AU - Koh, Sung Eun

AU - Shin, Heayong

AU - Yang, Seong Deog

PY - 2011/9

Y1 - 2011/9

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AB - We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bjöorling representation formulae for generalized spacelike maximal surfaces and for generalized timelike minimal surfaces play important roles in the explanation of this phenomenon.

KW - Bjöorling representation formula

KW - Spacelike maximal surface

KW - Timelike minimal surface

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Spacelike maximal surfaces, timelike minimal surfaces, and björling representation formulae

Abstract

Keywords

ASJC Scopus subject areas

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