The topology of indefinite flag manifolds

DOI10.1007/BF01773373zbMath0558.57018OpenAlexW2030886345MaRDI QIDQ762813

Alfonso Romero, Sebastían Montiel, Manuel Barros

Publication date: 1984

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01773373

zbMATH Keywords

Hermitian manifoldsBetti numbers of an indefinite complex flag manifoldindefinite homogeneous spaceKilling-Cartan formMorse- inequalitiesquaternion manifolds

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Critical points and critical submanifolds in differential topology (57R70) Homology and cohomology of homogeneous spaces of Lie groups (57T15)

Cites Work

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• On the almost Hermitian structures on a differentiable manifold
• Indefinite Kähler manifolds
• Differential geometry of U(p+q+r)/U(p)xU(q)xU(r)
• A Morse function on Grassmann manifolds
• Applications of the Theory of Morse to Symmetric Spaces
• Morse Theory. (AM-51)
• Combinatorial homotopy. I

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