For a Hamiltonian action of a compact group U of isometries on a compact Kähler manifold Z and a compatible subgroup G of the complexification of U, we prove that for any closed G--invariant subset Y of Z, the image of the gradient map of Y is independent of the choice of the invariant Kähler form in its cohomology class.
A Remark on the Gradient Map / Biliotti, Leonardo; A., Ghigi; P., Heinzner. - In: DOCUMENTA MATHEMATICA. - ISSN 1431-0635. - 19:(2014), pp. 1017-1023.
A Remark on the Gradient Map
BILIOTTI, Leonardo;
2014-01-01
Abstract
For a Hamiltonian action of a compact group U of isometries on a compact Kähler manifold Z and a compatible subgroup G of the complexification of U, we prove that for any closed G--invariant subset Y of Z, the image of the gradient map of Y is independent of the choice of the invariant Kähler form in its cohomology class.File in questo prodotto:
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