Geodesic
Convex domains with noncompact automorphism groups
Sbornik. Mathematics, Tome 82 (1995) no. 1, pp. 1-20

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Holomorphic vector fields tangent to the boundaries of homogeneous model domains are studied in this paper. The results obtained are applied to a classification of convex bounded domains of finite type with noncompact groups of holomorphic automorphisms. 
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È. Bedford; S. I. Pinchuk. Convex domains with noncompact automorphism groups. Sbornik. Mathematics, Tome 82 (1995) no. 1, pp. 1-20. http://geodesic.mathdoc.fr/item/SM_1995_82_1_a0/