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.
2014
A Remark on the Gradient Map / Biliotti, Leonardo; A., Ghigi; P., Heinzner. - In: DOCUMENTA MATHEMATICA. - ISSN 1431-0635. - 19:(2014), pp. 1017-1023.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2756339
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