Taut representations of compact simple Lie groups

zbMath1168.53033arXivmath/0404269MaRDI QIDQ1022565

Claudio Gorodski

Publication date: 22 June 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404269

zbMATH Keywords

taut submanifoldtaut represenation

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

Isometric actions on spheres with an orbifold quotient ⋮ Classification of taut irreducible real linear representations of compact connected Lie groups ⋮ Geometry, dynamics and different types of orbits ⋮ A general Weyl-type integration formula for isometric group actions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On integral formulas for submanifolds of spaces of constant curvature and some applications
• Dupin hypersurfaces
• Elliptic isometries, condition (C) and proper maps
• Curvature properties of taut submanifolds
• On critical sets of distance function to a taut submanifold
• Calibrated geometries
• Homogeneous spaces without taut embeddings
• A generalization of the Chevalley restriction theorem
• Lifting smooth homotopies of orbit spaces
• Critical point theory and submanifold geometry
• Adherences d'orbite et invariants
• Focal sets, taut embeddings and the cyclides of Dupin
• Taut 3-manifolds
• On the invariant theory and geometry of compact linear groups of cohomogeneity \(\leq 3\)
• Global \(G\)-manifold reductions and resolutions
• Cycles of Bott-Samelson type for taut representations
• On the classification of polar representations
• The topology of isoparametric submanifolds
• The spherical two-piece property and tight surfaces in spheres
• Nondegenerate critical manifolds
• On the Total Curvature of Immersed Manifolds
• Applications of the Theory of Morse to Symmetric Spaces
• Dupin Hypersurfaces
• The possible cohomology of certain types of taut submanifolds
• The classification of taut irreducible representations
• Compact connected Lie transformation groups on spheres with low cohomogeneity. I
• Tight and Taut Immersions

This page was built for publication: Taut representations of compact simple Lie groups