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Lorentzian Submanifolds in Lorentzian Space Form with the Same Constant Curvatures |
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| Authors: | Joonsang Park |
| Institution: | (1) Department of Mathemathics, Dongguk University, Joong-Gu Pildong, Seoul, 100-715, Korea |
| Abstract: | We study nondegenerate isometric immersions of Lorentzian manifolds of constant sectional curvatures into Lorentzian space form of the same constant sectional curvatures which have flat normal bundles. We also give a method to produce such immersions using the Lorentzian Grassmannian systems. |
| Keywords: | isometric immersion space form Lorentzian manifold constant sectional curvature flat connection nondegenerate Grassmannian system |
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