논문KCI 등재
On the Degenerate Maximal Spacelike Surfaces
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참고문헌
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주제분류수학
초록
The purpose of this paper is to investigate various kinds of degeneracy of maximal surfaces in Ln in view of the generalized Gauss map.
Abstract
The purpose of this paper is to investigate various kinds of degeneracy of maximal surfaces in Ln in view of the generalized Gauss map.
참고문헌 (10)
- Abe, K., "Indefinite Rigidity of Complex Submanifold and Maximal Sur-faces", Mathematical Proceedings of Cambridge Philosophical Society, 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)
- Graves, L., "One Isometric Immersions between Lorentz Spaces", Ph.D., pp.1977
- 홍성관, "ON THE INDEFINITE POSITIVE QUADRIC Qn-2+", East Asian Mathematical Journal, 32(1), pp.93~100 (2016), 영남수학회[DOI]
- 홍성관, "ON THE WEIERSTRASS THEOREM OF A MAXIMAL SPACELIKE SURFACE", East Asian Mathematical Journal, 33(1), pp.115~121 (2017), 영남수학회[DOI]
- 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 SURFACES IN L4홍성관영남수학회 · East Asian Mathematical Journal2021 · 제37권 제1호ON THE WEIERSTRASS THEOREM OF A MAXIMAL SPACELIKE SURFACE홍성관영남수학회 · East Asian Mathematical Journal2017 · 제33권 제1호Maximal Hypersurfaces of (m+2)-Dimensional Lorentzian Space FormsUur Dursun경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2008 · 제48권 제1호TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ홍성관한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호On the Geometry of Lightlike Submanifolds강태호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호Maximal space-like hypersurfaces in $H^4_1(-1)$ with zero Gauss-Kronecker curvature서영진, Qing-Ming Cheng대한수학회 · 대한수학회지2006 · 제43권 제1호
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