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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)

  1. Abe, K., "Indefinite Rigidity of Complex Submanifold and Maximal Surfaces", Mathematical Proceedings of Cambridge Philosophical Society, 106(3), pp.481~494 (1989)
  2. 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)
  3. Asperti, "Spacelike Surfaces in L4 with Degenerate Gauss Map", Results in Mathematics, 60(1), pp.185~211 (2011)
  4. Graves, L, "Codimension One Isometric Immersions between Lorentz Spaces", Ph. D., pp.1977
  5. 홍성관, "ON THE INDEFINITE POSITIVE QUADRIC Qn-2+", East Asian Mathematical Journal, 32(1), pp.93~100 (2016), 영남수학회[DOI]
  6. Hong, SK, "On the Degenerate Maximal Spacelike Surfaces", East Asian Mathematical Journal, 35(1), pp.109~115 (2019), 영남수학회[DOI]
  7. Kobayasi, O, "Maximal Surfaces in the 3-dimensional Minkowski Space L3", Tokyo J. Math, 6, pp.297~309 (1983)
  8. Milnor, T. K, "Harmonic Maps and Classical Surface Theory in Minkowski 3-space", Trans. of AMS, 280, pp.161~185 (1983)
  9. O’Neil, B, "Semi-Riemannian Geometry" (1983), Academic Press
  10. Osserman, R., "A Survey of Minimal Surfaces" (1986), Dover

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