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SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJORLING REPRESENTATION FORMULAE

Authors
Kim, Young WookKoh, Sung-EunShin, HeayongYang, Seong-Deog
Issue Date
9월-2011
Publisher
KOREAN MATHEMATICAL SOC
Keywords
spacelike maximal surface; timelike minimal surface; Bjorling representation formula
Citation
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, v.48, no.5, pp.1083 - 1100
Indexed
SCIE
SCOPUS
KCI
Journal Title
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY
Volume
48
Number
5
Start Page
1083
End Page
1100
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/111752
DOI
10.4134/JKMS.2011.48.5.1083
ISSN
0304-9914
Abstract
We show that some class of spacelike maximal surfaces and timelike minimal surfaces match smoothly across the singular curve of the surfaces. Singular Bjorling 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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