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A note on the Kobayashi-Royden metric
for real ellipsoids

Author: Wlodzimierz Zwonek
Journal: Proc. Amer. Math. Soc. 125 (1997), 199-202
MSC (1991): Primary 32H15
MathSciNet review: 1353411
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Abstract: We give a proof of the fact proven by L.D. Kay that the Kobayashi-Royden metric of a real ellipsoid (of dimension at least $2$) at $0$ is hermitian exactly when the ellipsoid is the ball. The proof given by us is much simpler and shorter than that of Kay although it is based on the same results.

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Wlodzimierz Zwonek
Affiliation: Instytut Matematyki, Uniwersytet Jagielloński, Reymonta 4, 30-059 Kraków, Poland

Received by editor(s): July 21, 1995
Additional Notes: This paper has been supported by KBN grant No 2 PO3A 060 08.
Communicated by: Eric Bedford
Article copyright: © Copyright 1997 American Mathematical Society