Some results in geometry of hypersurfaces

DOI10.2996/kmj/1138037152zbMath0587.53054OpenAlexW1969443124MaRDI QIDQ1072122

Takashi Okayasu

Publication date: 1986

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138037152

zbMATH Keywords

sectional curvaturerelative nullityBeltrami mapunbounded submanifold

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• On the type number of hypersurfaces in spaces of constant curvature
• On the completeness of nullity foliations
• Rigidity and convexity of hypersurfaces in spheres
• Homogeneous hypersurfaces in a sphere with the type number 2
• Isometric immersions into spaces of constant curvature
• An Estimate for the Curvature of Bounded Submanifolds
• Immersions of manifolds with non-negative sectional curvatures
• COMPLETE $ l$-DIMENSIONAL SURFACES OF NONPOSITIVE EXTRINSIC CURVATURE IN A RIEMANNIAN SPACE
• On Hypersurfaces with no Negative Sectional Curvatures
• Isometric immersions of constant curvature manifolds
• Totally geodesic foliations

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