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

DOI10.2748/TMJ/1113246746zbMath1075.53078OpenAlexW1973444153MaRDI QIDQ1772205

Xue-Shan Zhang

Publication date: 15 April 2005

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1113246746

zbMATH Keywords

submanifoldspinchingstable currents

Mathematics Subject Classification ID

Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Global submanifolds (53C40) Integral geometry (53C65) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Unnamed Item
• The nonexistence of stable submanifolds, varifolds, and harmonic maps in sufficiently pinched simply connected Riemannian manifolds
• Geometry and topology of submanifolds immersed in space forms and ellipsoids
• 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

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