Geodesic
The fixed points of holomorphic maps on a convex domain
Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 143-148.

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We give a simple proof of the result that if D is a (not necessarily bounded) hyperbolic convex domain in $ℂ^n$ then the set V of fixed points of a holomorphic map f:D → D is a connected complex submanifold of D; if V is not empty, V is a holomorphic retract of D. Moreover, we extend these results to the case of convex domains in a locally convex Hausdorff vector space.
DOI : 10.4064/ap-56-2-143-148

Thai Do 1

1 
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Thai Do. The fixed points of holomorphic maps on a convex domain. Annales Polonici Mathematici, Tome 56 (1991) no. 2, pp. 143-148. doi : 10.4064/ap-56-2-143-148. http://geodesic.mathdoc.fr/articles/10.4064/ap-56-2-143-148/

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