Abstract
Let M be a connected taut complex manifold of dimension n and let D be a bounded balanced pseudoconvex domain in with continuous Minkowski function. Assume that there exist a finite number of complex hyperplanes H j through the origin such that every point of is an extreme point for . Let f:→D be a holomorphic map. Let p be a point of M. Assume that f(p) = 0 and that df p is an isometry for the infinitesimal Kobayashi metric. In this case, we will show that f is a biholomorphic map.
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More From: Complex Variables, Theory and Application: An International Journal
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