Effective formulas for complex geodesics in generalized pseudoellipsoids with applications

Włodzimierz Zwonek

Annales Polonici Mathematici, Tome 62 (1995), p. 261-294 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1995-01-01

Zbl 0841.32016

EUDML-ID : urn:eudml:doc:262346

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     author = {W\l odzimierz Zwonek},
     title = {Effective formulas for complex geodesics in generalized pseudoellipsoids with applications},
     journal = {Annales Polonici Mathematici},
     volume = {62},
     year = {1995},
     pages = {261-294},
     zbl = {0841.32016},
     language = {en},
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Włodzimierz Zwonek. Effective formulas for complex geodesics in generalized pseudoellipsoids with applications. Annales Polonici Mathematici, Tome 62 (1995) pp. 261-294. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-apmv61z3p261bwm/

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