[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/BKMS.2002.39.2.237

RIEMANNIAN SUBMANIFOLDS IN LORENTZIAN MANIFOLDS WITH THE SAME CONSTANT CURVATURES

Park, Joon-Sang (Department of Mathematics, Dongguk University)

Publication Information

Bulletin of the Korean Mathematical Society / v.39, no.2, 2002 , pp. 237-249 More about this Journal

Abstract

We study nondegenerate immersions of Riemannian manifolds of constant sectional curvatures into Lorentzian manifolds of the same constant sectional curvatures with flat normal bundles. We also give a method to produce such immersions using the so-called Grassmannian system. .

Keywords

isometric immersion; Lorentzian manifold; constant sectional curvature; flat connection; nondegenerate; Grassmannian system;

Citations & Related Records

Reference

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