논문KCI 등재
ON THE WEIERSTRASS THEOREM OF A MAXIMAL SPACELIKE SURFACE
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참고문헌
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주제분류수학
초록
The purpose of this paper is to show how to represent a max- imal spacelike surface in Ln in terms of its generalized Guass map.
Abstract
The purpose of this paper is to show how to represent a max- imal spacelike surface in Ln in terms of its generalized Guass map.
참고문헌 (9)
- Abe, K, "Indefinite Rigidity of Complex Submanifold and Maximal Sur-faces", Mathematical Proceedings, 106(3), pp.481~494 (1989)
- Akutagawa, K, "The Gauss Map and Spacelike Surfaces with Prescribed Mean Curvature in Minkowski 3-Space", Tohoku Mathematical Journal, 42(1), pp.67~82 (1990)
- Asperti, Antonio C, "Spacelike Surfaces in L4 with De-generate Gauss Map", Results in Mathematics, 60(1), pp.185~211 (2011)
- Estudillo, Francisco J. M, "On Maximal Surfaces in the n-Dimensional Lorentz-Minkowski Space", Geometria Dedicata, 38, pp.167~174 (1991)
- Graves, L, "Codimension One Isometric Immersions between Lorentz Spaces", Ph.D, pp.1977
- Kobayasi, O, "Maximal Surfaces in the 3-dimensional Minkowski Space L3", Tokyo J. Math, 6, pp.297~309 (1983)
- Milnor, T. K, "Harmonic Maps and Classical Surface Theory in Minkowski 3-space", Trans. of AMS, 280, pp.161~185 (1983)
- O'Neil, B, "Semi-Riemannian Geometry" (1983), Academic Press
- Osserman, R, "A Survey of Minimal Surfaces" (1986), Dover
관련 논문AI추천
On the Degenerate Maximal Spacelike Surfaces홍성관영남수학회 · East Asian Mathematical Journal2019 · 제35권 제1호ON THE DEGENERATE MAXIMAL SURFACES IN L4홍성관영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호SPACELIKE MAXIMAL SURFACES, TIMELIKE MINIMAL SURFACES, AND BJORLING REPRESENTATION FORMULAE고성은, 김영욱, 신해용, 양성덕대한수학회 · 대한수학회지2011 · 제48권 제5호TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ홍성관한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호Maximal Hypersurfaces of (m+2)-Dimensional Lorentzian Space FormsUur Dursun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호ON THE INDEFINITE POSITIVE QUADRIC Qn-2+홍성관영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호
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