Immersions of non-zero relative nullity in manifolds of constant positive curvature

DOI10.1007/BF01238487zbMath0439.53057OpenAlexW2073523421MaRDI QIDQ1142450

Lucio L. Rodriguez

Publication date: 1979

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01238487

zbMATH Keywords

Ricci curvaturetotally geodesicspace formrelative nullity

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

Some remarks on a class of submanifolds in space forms of non-negative curvature ⋮ On Spherical Submanifolds with Nullity ⋮ Reduction of codimension of regular immersions ⋮ Embedding problems: Geometric and topological aspects

Cites Work

• The nullity spaces of curvature-like tensors
• On the rank and curvature of non-singular complex hypersurfaces in a complex projective space
• On the completeness of nullity foliations
• The splitting theorem for manifolds of nonnegative Ricci curvature
• A characterization of totally geodesic submanifolds in S\(^N\) and CP\(^N\) by an inequality
• On Isometric Immersions in Euclidean Space of Manifolds With Non-Negative Sectional Curvatures
• On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II
• Isometric immersions of constant curvature manifolds
• Totally geodesic foliations

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