Geodesic
A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains
Canadian journal of mathematics, Tome 47 (1995) no. 2, pp. 405-420

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we study the boundary version of the classical Cartan theorem. We show that for some weakly pseudoconvex domains, when a holomorphic self-mapping has a sufficiently high order of contact (which depends only on the geometric properties of the domains) with the identical map at some boundary point, then it must coincide with the identity.
DOI : 10.4153/CJM-1995-022-3
Mots-clés : 32H02, 32H15, Burns-Krantz rigidity problems, iteration of self-mappings, Kobayashi metrics and Kobayashi distances, complex geodesies, holomorphic retracts, horospheres, pseudoconvex domains of finite type. 
Huang, Xiaojun. A Boundary Rigidity Problem For Holomorphic Mappings on Some Weakly Pseudoconvex Domains. Canadian journal of mathematics, Tome 47 (1995) no. 2, pp. 405-420. doi: 10.4153/CJM-1995-022-3
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