Many Endpoints and Few Interior Points of Geodesics.
Tudor Zamfirescu (1982)
Inventiones mathematicae
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Tudor Zamfirescu (1982)
Inventiones mathematicae
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Horst Knörrer (1980)
Inventiones mathematicae
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Karsten Grove, Detlef Gromoll (1981/82)
Inventiones mathematicae
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Victor Bangert (1981)
Inventiones mathematicae
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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. ...
F. Labourie (1987)
Inventiones mathematicae
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Ara Basmajian (1994)
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M. Peternell (1986)
Inventiones mathematicae
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J.E. Fornaess, K. Diederich (1985)
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Jens Peter Reus Christensen (1973)
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Werner Ballmann (1983)
Inventiones mathematicae
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Adem Kiliçman, Wedad Saleh (2015)
Open Mathematics
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In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.