Application of Morse theory to some homogeneous spaces

DOI10.2748/tmj/1178242947zbMath0187.43305OpenAlexW2153624956MaRDI QIDQ2537035

S. Ramanujam

Publication date: 1969

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178242947

zbMATH Keywords

Morse inequalitieshomogeneous spaceslength functionMorse functionCW-decompositionapplication of Morse theory

Mathematics Subject Classification ID

Differential geometry of symmetric spaces (53C35) Discrete Morse theory and related ideas in manifold topology (57Q70)

Related Items (6)

Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds ⋮ On the construction of perfect Morse functions on compact manifolds of coherent states ⋮ Geometry, dynamics and different types of orbits ⋮ Lie groups and homogeneous spaces ⋮ Geodesic orbit metrics in a class of homogeneous bundles over quaternionic Stiefel manifolds ⋮ Height functions on compact symmetric spaces

Cites Work

• An application of the Morse theory to the topology of Lie-groups
• Seminar on Transformation Groups. (AM-46)
• Applications of the Theory of Morse to Symmetric Spaces
• Unnamed Item

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