학술저널
A CHARACTERIZATION OF THE N-DIMENSIONAL UNIT SPHERE IN THE 2N-DIMENSIONAL DE SITTER SPACE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 13, No. 2
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2000.1241 - 51 (11 pages)
- 0
We show that an n-dimensional unit sphere in the 2n-dimensional de Sitter space can be associated to a solution of a partial differential equation on a Lorentzian Grassmannian system coming from the integrable system theory.
Abstract
1. Introduction
2. Submanifolds in Lorentzian space
3. Lorentzian Grassmannian systems
4. Main Theorems
References
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