Semistable points with respect to real forms. (English) Zbl 1129.32015
Authors’ abstract: We consider actions of real Lie subgroups \(G\) of complex reductive Lie groups on Kählerian spaces. The main result is the openness of sets of semistable points with respect to a momentum map and the action of \(G\).
Reviewer: Shanyu Ji (Houston)
MSC:
| 32M05 | Complex Lie groups, group actions on complex spaces |
References:
| [1] | Heinzner P., Huckleberry A. (1996) Kählerian potentials and convexity properties of the moment map. Invent. math. 126, 65–84 · Zbl 0855.58025 · doi:10.1007/s002220050089 |
| [2] | Heinzner, P., Schwarz, G.: Cartan decomposition of the moment map. Math. Ann. (in press) (2006) · Zbl 1110.32008 |
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