Geodesic
Lempert theorem for strongly linearly convex domains
Łukasz Kosiński1 ; Tomasz Warszawski2
1 Instytut Matematyki Wydział Matematyki i Informatyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland
2 Instytut Matematyki Wydział Matematyki i Informatyki Uniwersytet Jagielloński ul. Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 107 (2013) no. 2, pp. 167-216.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

In 1984 L. Lempert showed that the Lempert function and the Carathéodory distance coincide on non-planar bounded strongly linearly convex domains with real-analytic boundaries. Following his paper, we present a slightly modified and more detailed version of the proof. Moreover, the Lempert Theorem is proved for non-planar bounded strongly linearly convex domains.
DOI : 10.4064/ap107-2-5
Keywords: lempert showed lempert function carath odory distance coincide non planar bounded strongly linearly convex domains real analytic boundaries following his paper present slightly modified detailed version proof moreover lempert theorem proved non planar bounded strongly linearly convex domains

Łukasz Kosiński 1 ; Tomasz Warszawski 2

1 Instytut Matematyki Wydział Matematyki i Informatyki Uniwersytet Jagielloński Łojasiewicza 6 30-348 Kraków, Poland
2 Instytut Matematyki Wydział Matematyki i Informatyki Uniwersytet Jagielloński ul. Łojasiewicza 6 30-348 Kraków, Poland 
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Łukasz Kosiński; Tomasz Warszawski. Lempert theorem for strongly linearly convex domains. Annales Polonici Mathematici, Tome 107 (2013) no. 2, pp. 167-216. doi : 10.4064/ap107-2-5. http://geodesic.mathdoc.fr/articles/10.4064/ap107-2-5/

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