ON SUBMANIFOLDS WITH TAMED SECOND FUNDAMENTAL FORM

DOI10.1017/S0017089509990085zbMath1183.53049arXiv0805.0323MaRDI QIDQ3183189

M. Silvana Costa, Gregório Pacelli Bessa

Publication date: 19 October 2009

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

Full work available at URL: https://arxiv.org/abs/0805.0323

zbMATH Keywords

Hadamard manifoldfundamental tonetamed second fundemental form

Mathematics Subject Classification ID

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

Related Items (8)

On the total curvature and extrinsic area growth of surfaces with tamed second fundamental form ⋮ Density and spectrum of minimal submanifolds in space forms ⋮ Mean curvature, volume and properness of isometric immersions ⋮ \(L^2\)-harmonic 1-forms on submanifolds with finite total curvature ⋮ Volume growth, number of ends, and the topology of a complete submanifold ⋮ Spectrum Estimates and Applications to Geometry ⋮ Asymptotically extrinsic tamed submanifolds ⋮ On the fundamental tone of minimal submanifolds with controlled extrinsic curvature

Cites Work

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• A complete bounded minimal cylinder in \(\mathbb R^3\)
• Hadamard's and Calabi-Yau's conjectures on negatively curved and minimal surfaces
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