Abstract.
We deal with compact Kähler manifolds M acted on by a compact Lie group K of isometries, whose complexification Kℂ has exactly one open and one closed orbit in M. If the K-action is Hamiltonian, we investigate topological and cohomological properties of M.
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Gori, A., Podestà, F. Two-Orbit Kähler Manifolds and Morse Theory. Monatsh. Math. 143, 105–114 (2004). https://doi.org/10.1007/s00605-004-0259-y
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DOI: https://doi.org/10.1007/s00605-004-0259-y