We deal with compact K\"ahler manifolds $M$ acted on by a compact Lie group $K$ of isometries, whose complexification $K^\C$ has exactly one open and one closed orbit in $M$. If the $K$-action is Hamiltonian, we obtain results on the cohomology and the $K$-equivariant cohomology of $M$.
Two-orbit Kaehler manifolds and Morse Theory / A. Gori, F. Podestà. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - 143:2(2004), pp. 105-114.
Two-orbit Kaehler manifolds and Morse Theory
A. GoriPrimo
;
2004
Abstract
We deal with compact K\"ahler manifolds $M$ acted on by a compact Lie group $K$ of isometries, whose complexification $K^\C$ has exactly one open and one closed orbit in $M$. If the $K$-action is Hamiltonian, we obtain results on the cohomology and the $K$-equivariant cohomology of $M$.
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