Effective formulas for complex geodesics in generalized pseudoellipsoids with applications
Volume 61 / 1995
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.
