Geodesic
Effective formulas for complex geodesics in generalized pseudoellipsoids with applications
Annales Polonici Mathematici, Tome 61 (1995) no. 3, pp. 261-294.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/ap-61-3-261-294
Keywords: complex geodesics, generalized pseudoellipsoids, biholomorphic equivalence of ellipsoids

Włodzimierz Zwonek 1

1 
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Włodzimierz Zwonek. Effective formulas for complex geodesics in generalized pseudoellipsoids with applications. Annales Polonici Mathematici, Tome 61 (1995) no. 3, pp. 261-294. doi : 10.4064/ap-61-3-261-294. http://geodesic.mathdoc.fr/articles/10.4064/ap-61-3-261-294/

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