논문KCI 등재
Riemannian submanifolds in Lorentzian manifolds with the same constant curvatures
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Abstract
We study nondegenerate immersions of Riemannianmanifolds of constant sectional curvatures into Lorentzianmanifolds of the same constant sectional curvatures with flatnormal bundles. We also give a method to produce such immersionsusing the so-called Grassmannian system.
관련 논문AI추천
Isometric immersions of manifolds into space forms with the same constant curvaturesJoonsang Park대한수학회 · 대한수학회논문집2002 · 제17권 제1호Ribaucour transformations on Riemannian space forms in Lorentzian space form박준상대한수학회 · 대한수학회논문집2006 · 제21권 제4호On the Ricci curvature of submanifolds in the warped product $L\times_{f} F$박진석, Young-Mi Kim대한수학회 · 대한수학회지2002 · 제39권 제5호Ricci curvature of integral submanifolds of an $\mathcal{S}$-space form김정식, Mohit Kumar Dwivedi, Mukut Mani Tripathi대한수학회 · 대한수학회보2007 · 제44권 제3호Ricci curvature of submanifolds in a quaternion projective spaceDai Wanji, Liu Ximin대한수학회 · 대한수학회논문집2002 · 제17권 제4호Maximal space-like hypersurfaces in $H^4_1(-1)$ with zero Gauss-Kronecker curvature서영진, Qing-Ming Cheng대한수학회 · 대한수학회지2006 · 제43권 제1호
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