논문KCI 등재
ON THE DEGENERATE MAXIMAL SURFACES IN L4
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초록
The purpose of this paper is to investigate various kinds of degeneracy of maximal surfaces in L4 in view of the generalized Gauss map.
Abstract
The purpose of this paper is to investigate various kinds of degeneracy of maximal surfaces in L4 in view of the generalized Gauss map.
참고문헌 (10)
- Abe, K., "Indefinite Rigidity of Complex Submanifold and Maximal Surfaces", 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, "Spacelike Surfaces in L4 with Degenerate Gauss Map", Results in Mathematics, 60(1), pp.185~211 (2011)
- Graves, L, "Codimension 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]
- Hong, SK, "On the Degenerate Maximal Spacelike Surfaces", East Asian Mathematical Journal, 35(1), pp.109~115 (2019), 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 Spacelike Surfaces홍성관영남수학회 · East Asian Mathematical Journal2019 · 제35권 제1호ON THE WEIERSTRASS THEOREM OF A MAXIMAL SPACELIKE SURFACE홍성관영남수학회 · East Asian Mathematical Journal2017 · 제33권 제1호TOTALLY UMBILIC SPACELIKE SURFACES OF TYPE (I) IN Lⁿ홍성관한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제4호On spacelike rotational surfaces with pointwise 1-type Gauss mapUgur Dursun대한수학회 · 대한수학회보2015 · 제52권 제1호Helicoidal surfaces and their Gauss map in Minkowski 3-space II김영호, 최미경, Gi-Chan Park대한수학회 · 대한수학회보2009 · 제46권 제3호ON THE INDEFINITE POSITIVE QUADRIC Qn-2+홍성관영남수학회 · East Asian Mathematical Journal2016 · 제32권 제1호
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