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Effective formulas for complex geodesics in generalized pseudoellipsoids with applications

Volume 61 / 1995

Włodzimierz Zwonek Annales Polonici Mathematici 61 (1995), 261-294 DOI: 10.4064/ap-61-3-261-294

Abstract

We introduce a class of generalized pseudoellipsoids and we get formulas for their complex geodesics in the convex case. Using these formulas we get a description of automorphisms of the pseudoellipsoids. We also solve the problem of biholomorphic equivalence of convex complex ellipsoids without any sophisticated machinery.

Authors

  • Włodzimierz Zwonek

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