Area-minimizing cones over Grassmannian manifolds
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Publication:2149958
DOI10.1007/s12220-022-00963-7OpenAlexW3121774772WikidataQ114221006 ScholiaQ114221006MaRDI QIDQ2149958
Publication date: 27 June 2022
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2101.06941
Minimal surfaces and optimization (49Q05) Global submanifolds (53C40) Calibrations and calibrated geometries (53C38)
Related Items (2)
Area-minimizing cones over products of Grassmannian manifolds ⋮ On area-minimizing Pfaffian varieties
Cites Work
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- Calibrated geometries
- The exterior algebra \(\Lambda ^ kR^ n\) and area minimization
- Harmonic maps into Lie groups (classical solutions of the chiral model)
- On Cartan's method of Lie groups and moving frames as applied to uniqueness and existence questions in differential geometry
- Planar geodesic immersions
- Non-existence, non-uniqueness and irregularity of solutions to the minimal surface system
- New area-minimizing Lawson-Osserman cones
- Calibrations modulo \(\nu\)
- Calibrated geometries in Grassmann manifolds
- A note about the Veronese cone
- Volume-minimizing cycles in Grassmann manifolds
- The stable 4-dimensional geometry of the real Grassmann manifolds
- Minimizing cones associated with isoparametric foliations
- Isometric imbeddings of compact symmetric spaces
- Complete minimal surfaces in \(S^ 3\)
- Uniqueness of volume-minimizing submanifolds calibrated by the first Pontryagin form
- Submanifolds and Holonomy
- Minimal Surfaces by Moving Frames
- A sufficient criterion for a cone to be area-minimizing
- Twisted Calibrations
- The Pontryagin 4-form
- Isolated Orbits of the Adjoint Action and Area-Minimizing Cones
- Area-minimizing cones over the canonical imbedding of symmetric R-spaces
- The Equivariant Plateau Problem and Interior Regularity
- Area-minimizing of the cone over symmetric \(R\)-spaces
- Quaternions and matrices of quaternions
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