Geodesic
On the Moment Map of a Multiplicity Free Action
Colloquium Mathematicum, Tome 71 (1996) no. 1, pp. 107-110
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The purpose of this note is to show that the Orbit Conjecture of C. Benson, J. Jenkins, R. L. Lipsman and G. Ratcliff [BJLR1] is true. Another proof of that fact has been given by those authors in [BJLR2]. Their proof is based on their earlier results, announced together with the conjecture in [BJLR1]. We follow another path: using a geometric quantization result of Guillemin-Sternberg [G-S] we reduce the conjecture to a similar statement for a projective space, which is a special case of a characterization of projective smooth spherical varieties due to Brion [B2]. 
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Andrzej Daszkiewicz; Tomasz Przebinda. On the Moment Map of a Multiplicity Free Action. Colloquium Mathematicum, Tome 71 (1996) no. 1, pp. 107-110. doi: 10.4064/cm-71-1-107-110

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