[KSCI] Korea Science Citation Index Service

Hong, Seong-Kowan (Department of Mathematics Education, Pusan National University)

Publication Information

Abstract

The purpose of this paper is to investigate various kinds of degeneracy of maximal surfaces in ��4 in view of the generalized Gauss map.

Keywords

spacelike surface; the generalized Gauss map; degenerate maximal surface;

Citations & Related Records

1	Abe, K. and Magid, M., Indefinite Rigidity of Complex Submanifold and Maximal Surfaces, Mathematical Proceedings of Cambridge Philosophical Society 106 (1989), no. 3, 481-494 DOI
2	Akutagawa, K. and Nishigawa, S., The Gauss Map and Spacelike Surfaces with Prescribed Mean Curvature in Minkowski 3-Space, Tohoku Mathematical Journal 42 (1990), no. 1, 67-82. DOI
3	Asperti, Antonio C. and Vilhena, Jose Antonio M., Spacelike Surfaces in L⁴ with Degenerate Gauss Map, Results in Mathematics 60 (2011), no. 1, 185-211. DOI
4	Graves, L., Codimension One Isometric Immersions between Lorentz Spaces, Ph.D. Thesis, Brown University, 1977.
5	Hong, SK., On the Indefinite Quadric ℚ^n-2₊, East Asian Math. Journal 32 (2016), no. 1, 93-100. DOI
6	Hong, SK., On the Degenerate Maximal Spacelike Surfaces, East Asian Math. Journal 35 (2019), no. 1, 109-115. DOI
7	Kobayasi, O., Maximal Surfaces in the 3-dimensional Minkowski Space L³, Tokyo J. Math. 6 (1983), 297-309.
8	Milnor, T. K., Harmonic Maps and Classical Surface Theory in Minkowski 3-space, Trans. of AMS 280 (1983), 161-185. DOI
9	O'Neil, B., Semi-Riemannian Geometry, Academic Press, New York, 1983.
10	Osserman, R., A Survey of Minimal Surfaces, Dover, New York, 1986

KSCI