Estimates for the curvature of a submanifold which lies inside a tube

DOI10.1007/BF01222930zbMath0876.53036OpenAlexW178068841MaRDI QIDQ678192

Fernando Giménez

Publication date: 16 April 1997

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01222930

zbMATH Keywords

inequalitiesRiemannian manifoldsectional curvatureisometric immersiontubular neighborhood

Mathematics Subject Classification ID

Global submanifolds (53C40)

Related Items (1)

An estimate for the sectional curvature of cylindrically bounded submanifolds

Cites Work

• Comparison theory for Riccati equations
• Comparison theorems and hypersurfaces
• Isometric immersions into spheres
• An application of second variation to submanifold theory
• Isometric immersions of Riemannian manifolds
• An Estimate for the Curvature of Bounded Submanifolds
• Immersions into Manifolds of Constant Negative Curvature
• Immersion of Manifolds of Nonpositive Curvature
• Curvature of Closed Hypersurfaces and Non-Existence of Closed Minimal Hypersurfaces

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