Geodesic
A remark on the gradient map
Documenta mathematica, Tome 19 (2014), pp. 1017-1023.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: For a Hamiltonian action of a compact group $U$ of isometries on a compact Kähler manifold $Z$ and a compatible subgroup $G$ of $U^\C$, we prove that for any closed $G$--invariant subset $Y\subset Z$ the image of the gradient map $\mup(Y)$ is independent of the choice of the invariant Kähler form $\om$ in its cohomology class $[\om]$.
Classification : 53D20 
@article{DOCMA_2014__19__a11,
     author = {Biliotti, L. and Ghigi, A. and Heinzner, P.},
     title = {A remark on the gradient map},
     journal = {Documenta mathematica},
     pages = {1017--1023},
     publisher = {mathdoc},
     volume = {19},
     year = {2014},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a11/}
}
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Biliotti, L.; Ghigi, A.; Heinzner, P. A remark on the gradient map. Documenta mathematica, Tome 19 (2014), pp. 1017-1023. http://geodesic.mathdoc.fr/item/DOCMA_2014__19__a11/