Radii of Immersed Manifolds and Nonexistence of Immersions

DOI10.2307/2042271zbMath0438.53054OpenAlexW4233547767MaRDI QIDQ3879909

Toru Ishihara

Publication date: 1980

Full work available at URL: https://doi.org/10.2307/2042271

zbMATH Keywords

isometric immersionsnonpositive curvaturecomplete Riemannian manifoldsecond variation of arclength

Mathematics Subject Classification ID

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

Related Items (3)

Rigidity of spheres in Riemannian manifolds and a non-embedding theorem ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature

Cites Work

• Unnamed Item
• An application of second variation to submanifold theory
• Isometric Embedding of a Compact Riemannian Manifold into Euclidean Space
• On the existence of solutions of a system of quadratic equations and its geometrical application

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