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The Reflection Map and Infinitesimal Deformations of Sphere Mappings

The Reflection Map and Infinitesimal Deformations of Sphere Mappings

Abstract The reflection map introduced by D’Angelo is applied to deduce simpler descriptions of nondegeneracy conditions for sphere maps and to the study of infinitesimal deformations of sphere maps. It is shown that the dimension of the space of infinitesimal deformations of a nondegenerate sphere map is bounded from above …