Uniqueness of volume-minimizing submanifolds calibrated by the first Pontryagin form

DOI10.1090/S0002-9947-01-02783-0zbMath1031.53080MaRDI QIDQ2731945

Weiqing Gu, Daniel A. Grossman

Publication date: 30 July 2001

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Pfaffian systemcalibrated geometryPontryagin form

Mathematics Subject Classification ID

Pfaffian systems (58A17) Global submanifolds (53C40) Calibrations and calibrated geometries (53C38)

Related Items (1)

Area-minimizing cones over Grassmannian manifolds

Cites Work

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• You can not hear the mass of a homology class
• Calibrated geometries
• Calibrated geometries in Grassmann manifolds
• Volume-minimizing cycles in Grassmann manifolds
• Gauge theory and calibrated geometry. I
• The stable 4-dimensional geometry of the real Grassmann manifolds
• Characteristic Classes. (AM-76)
• The Pontryagin 4-form

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