Effective formulas for complex geodesics in generalized pseudoellipsoids with applications
Annales Polonici Mathematici, Tome 61 (1995) no. 3, pp. 261-294
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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:
complex geodesics, generalized pseudoellipsoids, biholomorphic equivalence of ellipsoids
Affiliations des auteurs :
Włodzimierz Zwonek 1
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author = {W{\l}odzimierz Zwonek},
title = {Effective formulas for complex geodesics in generalized pseudoellipsoids with applications},
journal = {Annales Polonici Mathematici},
pages = {261--294},
publisher = {mathdoc},
volume = {61},
number = {3},
year = {1995},
doi = {10.4064/ap-61-3-261-294},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap-61-3-261-294/}
}
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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
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