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Convexity properties of the moment mapping. (English) Zbl 0503.58017


MSC:

53D50 Geometric quantization
37J15 Symmetries, invariants, invariant manifolds, momentum maps, reduction (MSC2010)
22F05 General theory of group and pseudogroup actions
53D20 Momentum maps; symplectic reduction
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References:

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[2] Arms, J., Marsden, J., Moncrief, V.: Symmetries and bifurcations of the momentum mapping. Commun. Math. Phys.78, 455-478 (1981) · Zbl 0486.58008 · doi:10.1007/BF02046759
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[10] Montgomery, D., Samelson, H., Zippin, L.: Singular points of compact transformation groups. Ann. of Math. (2)63, 1-9 (1956) · Zbl 0074.25905 · doi:10.2307/1969986
[11] Mostow, G.D.: On a conjecture of Montgomery. Ann. of Math. (2)65, 513-516 (1957) · Zbl 0078.16302 · doi:10.2307/1970061
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[13] Yang, C.-T.: On a problem of Montgomery, Proc. Am. Math. Soc.8, 255-275 (1957) · Zbl 0078.16303 · doi:10.1090/S0002-9939-1957-0087040-4
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