Two-orbit Kähler manifolds and Morse Theory

Details Two-orbit Kähler manifolds and Morse Theory Two-orbit Kähler manifolds and Morse Theory

2003-10-13

arxiv.org/abs/math/0310178v1

Mathematics

Symplectic Geometry

9 pages

Scientific paper

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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