논문KCI 등재
Isotropic Submanifolds of Real Space Forms
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초록
We study some functions defined on the unit tangent space, which are formed with the second fundamental form of submanifolds of a real space form. These give an exact expression of isotropy of submanifolds in a real space form and a relationship between intrinsic invariants and extrinsic ones.
Abstract
We study some functions defined on the unit tangent space, which are formed with the second fundamental form of submanifolds of a real space form. These give an exact expression of isotropy of submanifolds in a real space form and a relationship between intrinsic invariants and extrinsic ones.
참고문헌 (8)
- Ahn, S. S., "Submanifolds of Euclidean space with non- negative Ricci curvature", Kyungpook Math. J., 35, pp.387~392 (1995)
- Chen, B.-Y., "Geometry of submanifolds" (1973), Marcel Dekker
- Chen, B.-Y., "Some pinching and classification theorems for minimal submanifolds", Arch. der Math., 60, pp.568~578 (1993)
- Chen, B.-Y., "Mean curvature and shape operator of isometric immersions in real space forms", Glasgow Math. J., 38, pp.87~97 (1996)
- Chen, B.-Y., "Some new obstructios to minimal and Lagragian isometric immersions", Japanese J. Math., 26, pp.105~127 (2000)
- Chen, B.-Y., "What can we do with Nashs embedding theorem?", Soochow J. Math., 30, pp.303~338 (2004)
- Chen, B.-Y., "Pseudo-umbilical submanifolds in a Riemannian manifold of constant curvature", pp.61~71 (1972), Diff. Geom., in honor of K. Yano
- O'Neill, B., "Isotropic and Kaehler immersions", Canad. J. Math., 17, pp.907~915 (1965)
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