The stable 4-dimensional geometry of the real Grassmann manifolds

DOI10.1215/S0012-7094-98-09306-1zbMath0943.53036MaRDI QIDQ1974815

Weiqing Gu

Publication date: 27 March 2000

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

zbMATH Keywords

minimal submanifoldHopf fibrationsreal Grassmann manifoldsfirst Pontryagin form

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Calibrations and calibrated geometries (53C38)

Related Items (3)

Area-minimizing cones over Grassmannian manifolds ⋮ Uniqueness of volume-minimizing submanifolds calibrated by the first Pontryagin form ⋮ On the DDVV conjecture and the comass in calibrated geometry. I

Cites Work

• You can not hear the mass of a homology class
• Calibrated geometries
• On the volume of a unit vector field on the three-sphere
• Calibrated geometries in Grassmann manifolds
• Volume-minimizing cycles in Grassmann manifolds
• The inaudible geometry of nilmanifolds
• Sur la cohomologie des espaces fibrés principaux et des espaces homogènes de groupes de Lie compacts
• Du côté de chez Pu
• Eine Determinantenidentität und ihre Anwendung auf analytische Gebilde in euklidischer und Hermitescher Maßbestimmung
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