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ArticleOriginal scientific text

Title

Effective formulas for complex geodesics in generalized pseudoellipsoids with applications

Authors 1

Affiliations

  1. Institute of Mathematics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

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.

Keywords

ENG
complex geodesics, generalized pseudoellipsoids, biholomorphic equivalence of ellipsoids

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Annales Polonici Mathematici
1995/61/3
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Pages:
261-294
Main language of publication
English
Received
1994-06-16
Accepted
1995-02-27
Published
1995
Exact and natural sciences