Convexity theorem for isoparametric submanifolds

DOI10.1007/BF01390326zbMath0615.53048MaRDI QIDQ1820448

Chun-Lian Terng

Publication date: 1986

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143378

zbMATH Keywords

Weyl groupconvexity theoremCoxeter groupisoparametric submanifoldparallel manifold

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Differential geometry of symmetric spaces (53C35)

Related Items

Admissibility and frame homotopy for quaternionic frames ⋮ Poisson geometry ⋮ Convexity theorem for infinite-dimensional isoparametric submanifolds ⋮ Bernstein type theorems with flat normal bundle ⋮ On index number and topology of flag manifolds ⋮ Isoparametric Submanifolds of Hyperbolic Spaces

Cites Work

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• Convexity properties of the moment mapping
• On some types of isoparametric hypersurfaces in spheres. I
• Isoparametric submanifolds and their Coxeter groups
• Familles de surfaces isoparametriques dans les espaces à courbure constante
• Nondegenerate critical manifolds
• Applications of the Theory of Morse to Symmetric Spaces
• Geometry and topology of isoparametric submanifolds in euclidean spaces
• Isoparametric Systems and Transnormality
• Convexity and Commuting Hamiltonians
• On convexity, the Weyl group and the Iwasawa decomposition
• Convexity and Tightness for Restrictions of Hamiltonian Functions to Fixed Point Sets of an Antisymplectic Involution
• Doubly Stochastic Matrices and the Diagonal of a Rotation Matrix