On the construction of perfect Morse functions on compact manifolds of coherent states

DOI10.1063/1.527691zbMath0638.58040OpenAlexW1999625583MaRDI QIDQ3779492

Alexandru Cezar Gheorghe, Stefan Berceanu

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527691

zbMATH Keywords

coherent statesEuler-Poincaré characteristicLie group of symmetrycoherent vector manifoldPerfect Morse functions

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of global analysis to the sciences (58Z05)

Related Items (8)

Coherent states and geodesics: Cut locus and conjugate locus ⋮ On equations of motion on compact Hermitian symmetric spaces ⋮ A remark on Berezin's quantization and cut locus ⋮ The Floer homotopy type of height functions on complex Grassmann manifolds ⋮ The real Jacobi group revisited ⋮ A HOLOMORPHIC REPRESENTATION OF THE JACOBI ALGEBRA ⋮ Linear dynamical systems, coherent state manifolds, flows, and matrix Riccati equation ⋮ Coherent states, line bundles and divisors

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