Classification of taut irreducible real linear representations of compact connected Lie groups

DOI10.1090/spmj/1636OpenAlexW3120107250WikidataQ115280737 ScholiaQ115280737MaRDI QIDQ5144088

M. V. Meshcheryakov

Publication date: 14 January 2021

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/spmj/1636

zbMATH Keywords

compact Lie groupMorse functionmatrix coefficientsirreducible real linear representationtaut immersions of smooth manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General properties and structure of real Lie groups (22E15)

Related Items (1)

Upper estimates of the Morse numbers for the matrix elements of real linear irreducible representations of compact connected simple Lie groups

Cites Work

• Topological classification of Morse polynomials
• On the total curvature of immersed manifolds. II
• Taut representations of compact simple Lie groups
• On critical sets of distance function to a taut submanifold
• Homogeneous spaces without taut embeddings
• Tight equivariant imbeddings of symmetric spaces
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
• Integrable Gradient Flows and Morse Theory
• Applications of the Theory of Morse to Symmetric Spaces
• Minimal total curvature, a look at old and new results
• Convexity and Commuting Hamiltonians
• The classification of taut irreducible representations
• Some Minimal Imbeddings of Homogeneous Spaces
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