Homogeneous spaces without taut embeddings

DOI10.1215/S0012-7094-88-05716-XzbMath0662.53051OpenAlexW2065711520MaRDI QIDQ1113472

Gudlaugur Thorbergsson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1215/s0012-7094-88-05716-x

zbMATH Keywords

homogeneous spacestorsionMorse theoryhomologylens spacestaut submanifold

Mathematics Subject Classification ID

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

Related Items (3)

Classification of taut irreducible real linear representations of compact connected Lie groups ⋮ Tightness, torsion, and tubes ⋮ Taut representations of compact simple Lie groups

Cites Work

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• k-symmetric submanifolds of \(R^ N\)
• Curvature properties of taut submanifolds
• On critical sets of distance function to a taut submanifold
• The tightness of extrinsic symmetric submanifolds
• On the eigenvalues of the shape operator of an isometric immersion into a space of constant curvature
• The topology of isoparametric submanifolds
• Imbeddings of homogeneous spaces with minimum total curvature
• Minimal imbeddings of R-spaces
• Homogeneous spaces defined by Lie group automorphisms. I
• Homogeneous spaces defined by Lie group automorphisms. II
• The spherical two-piece property and tight surfaces in spheres
• Applications of the Theory of Morse to Symmetric Spaces
• Dupin Hypersurfaces
• On the Free Loop Space of Homogeneous Spaces

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