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

양성덕|고성은|김영욱|신해용
대한수학회 (The Korean Mathematical Society)|2011.09|대한수학회지 (Journal of the KMS)|제48권 제5호|pp. 1083-1100

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참고문헌

키워드

spacelike maximal surfacetimelike minimal surfaceBjorling representation formula
주제분류수학

초록

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.

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.

참고문헌 (17)

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관련 논문AI추천

ON THE WEIERSTRASS THEOREM OF A MAXIMAL SPACELIKE SURFACE홍성관영남수학회 · East Asian Mathematical Journal2017 · 제33권 제1호Björling formula for mean curvature one surfaces in hyperbolic three-space and in de Sitter three-space양성덕대한수학회 · 대한수학회보2017 · 제54권 제1호Bj\"{o}rling problem for zero mean curvature surfaces in the three-dimensional light cone김소영, 양성덕, 이원주, 조장환, Dami Lee대한수학회 · 대한수학회보2024 · 제61권 제2호On the Degenerate Maximal Spacelike Surfaces홍성관영남수학회 · East Asian Mathematical Journal2019 · 제35권 제1호Maximal Hypersurfaces of (m+2)-Dimensional Lorentzian Space FormsUur Dursun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호ON THE DEGENERATE MAXIMAL SURFACES IN L4홍성관영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호

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