Geometry and topology of submanifolds immersed in space forms and ellipsoids

DOI10.2996/KMJ/1138039965zbMath0813.53037OpenAlexW2030914331MaRDI QIDQ1340420

Xue-Shan Zhang

Publication date: 19 December 1994

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

Full work available at URL: https://doi.org/10.2996/kmj/1138039965

zbMATH Keywords

ellipsoidnonnegative sectional curvaturetotally umbilicalstable \(p\)-currents

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global submanifolds (53C40)

Related Items (1)

On the nonexistence of stable currents in submanifolds of a Euclidean space

Cites Work

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• On stable currents and their application to global problems in real and complex geometry
• Normal and integral currents
• Nonexistence of stable currents in submanifolds of a product of two spheres
• Submanifolds and a Pinching Problem on the Second Fundamental Tensors
• Homology Spheres Which are Covered by Spheres

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