Volume-minimizing cycles in Grassmann manifolds
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Publication:1902029
DOI10.1215/S0012-7094-95-07909-5zbMath0837.53035MaRDI QIDQ1902029
Frank Morgan, Herman Gluck, Dana Mackenzie
Publication date: 7 January 1996
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Differential topology (57R99) Global submanifolds (53C40) Integral geometry (53C65) Differential forms in global analysis (58A10) Global Riemannian geometry, including pinching (53C20)
Related Items
Calibrated geodesic foliations of hyperbolic space, Area-minimizing cones over Grassmannian manifolds, Triality transformation and Lie group spin\(_{7}\), The stable 4-dimensional geometry of the real Grassmann manifolds, Uniqueness of volume-minimizing submanifolds calibrated by the first Pontryagin form, On the DDVV conjecture and the comass in calibrated geometry. I, Algebraic topology of special Lagrangian manifolds, Algebraic topology of \(G_{2}\) manifolds, Packing Lines, Planes, etc.: Packings in Grassmannian Spaces, Twisted Cohomotopy implies M-theory anomaly cancellation on 8-manifolds
Cites Work
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- Division algebras, fibrations of spheres by great spheres and the topological determination of space by the gross behavior of its geodesics
- You can not hear the mass of a homology class
- Great circle fibrations of the three-sphere
- Calibrated geometries
- The exterior algebra \(\Lambda ^ kR^ n\) and area minimization
- On the volume of a unit vector field on the three-sphere
- Fibrations of spheres by parallel great spheres and Berger's rigidity theorem
- Minimal cones on hypercubes
- The geometry of the Hopf fibrations
- Calibrated geometries in Grassmann manifolds
- Paired calibrations applied to soap films, immiscible fluids, and surfaces or networks minimizing other norms
- Soap films and covering spaces
- The inaudible geometry of nilmanifolds
- Characteristic Classes and Homogeneous Spaces, I
- Area-Minimizing Surfaces, Faces of Grassmannians, and Calibrations
- A sufficient criterion for a cone to be area-minimizing
- Volumes of Vector Fields on Spheres
- Proving area minimization by directed slicing
- Least-volume representatives of homology classes in $G(2,\mathbf{C}^4)$
- Some Theorems on Integral Currents
- Du côté de chez Pu
- Eine Determinantenidentität und ihre Anwendung auf analytische Gebilde in euklidischer und Hermitescher Maßbestimmung
- 𝑄 valued functions minimizing Dirichlet’s integral and the regularity of area minimizing rectifiable currents up to codimension two