Immersions of Positively Curved Manifolds Into Manifolds with Curvature Bounded Above

DOI10.2307/2001332zbMath0726.53039OpenAlexW4248028668MaRDI QIDQ3350267

Nadine L. Menninga

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2001332

zbMATH Keywords

sectional curvatureconvex bodyisometric immersionmetric ball

Mathematics Subject Classification ID

Global submanifolds (53C40) Global Riemannian geometry, including pinching (53C20)

Cites Work

• The spherical images of convex hypersurfaces
• On the radius of the smallest ball containing a compact manifold of positive curvature
• Rigidity and convexity of hypersurfaces in spheres
• On the Total Curvature of Immersed Manifolds
• Convex immersions into positively-curved manifolds
• Riemannian center of mass and mollifier smoothing
• Locally Convex Hypersurfaces of Negatively Curved Spaces
• Riemannian spaces having their curvature bounded below by a positive number
• Extension of the Rauch Comparison Theorem to Submanifolds
• On Hypersurfaces with no Negative Sectional Curvatures
• On locally convex manifolds
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