The isometry groups of riemannian manifolds admitting strictly convex functions
Takao Yamaguchi (1982)
Annales scientifiques de l'École Normale Supérieure
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Takao Yamaguchi (1982)
Annales scientifiques de l'École Normale Supérieure
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Jin Liang (1997)
Annales de l'I.H.P. Analyse non linéaire
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Włodzimierz Zwonek (1996)
Annales Polonici Mathematici
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We consider the structure of Carathéodory balls in convex complex ellipsoids belonging to few domains for which explicit formulas for complex geodesics are known. We prove that in most cases the only Carathéodory balls which are simultaneously ellipsoids "similar" to the considered ellipsoid (even in some wider sense) are the ones with center at 0. Nevertheless, we get a surprising result that there are ellipsoids having Carathéodory balls with center not at 0 which are also ellipsoids. ...
R. T. Rockafellar (1985)
Annales de l'I.H.P. Analyse non linéaire
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H. Attouch, D. Aze (1993)
Annales de l'I.H.P. Analyse non linéaire
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Antonio Corbo Esposito, Riccardo De Arcangelis (1994)
Annales de l'I.H.P. Analyse non linéaire
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