논문KCI 등재
Isometric immersions of manifolds into space forms with the same constant curvatures
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Abstract
We study a unifying method to obtain nondegenerate isometric immersions ofmanifolds of constant sectional curvatures c with flat normalbundles into the space forms of curvature c for c=-1, 0, 1.
관련 논문AI추천
Riemannian submanifolds in Lorentzian manifolds with the same constant curvatures박준상대한수학회 · 대한수학회보2002 · 제39권 제2호Isotropic Submanifolds of Real Space Forms김영호경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제3호Ricci curvature of integral submanifolds of an $\mathcal{S}$-space form김정식, Mohit Kumar Dwivedi, Mukut Mani Tripathi대한수학회 · 대한수학회보2007 · 제44권 제3호Ribaucour transformations on Riemannian space forms in Lorentzian space form박준상대한수학회 · 대한수학회논문집2006 · 제21권 제4호Study of Isotropic ImmersionsNobutaka Boumuki, Sadahiro Maeda경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제3호On the Ricci curvature of submanifolds in the warped product $L\times_{f} F$박진석, Young-Mi Kim대한수학회 · 대한수학회지2002 · 제39권 제5호
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