논문KCI 등재
ON THE INDEFINITE POSITIVE QUADRIC Qn-2+
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초록
The generalized Gaussian image of a spacelike surface in Ln lies in the inde nite positive quadric Qn-2+ in the open submanifold CPn-1+ ofthe complex projective space CPn-1. The purpose of this paper is to ndout detailed information about Qn-2+ CPn-1+.
Abstract
The generalized Gaussian image of a spacelike surface in Ln lies in the inde nite positive quadric Qn-2+ in the open submanifold CPn-1+ ofthe complex projective space CPn-1. The purpose of this paper is to ndout detailed information about Qn-2+ CPn-1+.
참고문헌 (8)
- 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)
- 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
- A Survey of Minimal Surfaces, "Osserman, R.", Dover, ~ (1986)
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