Second homotopy group and invariant geometry of flag manifolds

DOI10.1007/S00025-020-01213-4zbMath1448.58014OpenAlexW3033805904MaRDI QIDQ2189573

Lino Grama, Lucas Seco

Publication date: 16 June 2020

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-020-01213-4

zbMATH Keywords

root systemsflag manifoldsLie theoryinvariant geometrysecond homotopy

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Grassmannians, Schubert varieties, flag manifolds (14M15) Semisimple Lie groups and their representations (22E46) Geodesics in global differential geometry (53C22) Harmonic maps, etc. (58E20) Simple, semisimple, reductive (super)algebras (17B20)

Related Items (1)

A correspondence between boundary coefficients of real flag manifolds and height of roots

Cites Work

• Twistor theory for Riemannian symmetric spaces. With applications to harmonic maps of Riemann surfaces
• Invariant almost Hermitian structures on flag manifolds.
• The isotropy representation of a real flag manifold: split real forms
• Sur certains modules dans une algèbre de Lie semi-simple
• Adjoint Orbits of Semi-Simple Lie Groups and Lagrangian Submanifolds
• Structure and Geometry of Lie Groups
• Blakers-Massey elements and exotic diffeomorphisms of 𝑆⁶ and 𝑆¹⁴ via geodesics
• Equigeodesics on flag manifolds
• Closed Manifolds with Homogeneous Complex Structure
• Kählerian Coset Spaces of Semisimple Lie Groups
• On orbit closures of spherical subgroups in flag varieties.
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