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On the convexity of
the kobayashi metric on a taut complex manifold
Masashi Kobayashi |
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Vol. 194 (2000), No. 1, 117–128
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Abstract |
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We study the Kobayashi-Royden metric and the Kobayashi distance on a taut complex manifold. We prove that the derivative of the Kobayashi distance is equal to the Kobayashi-Busemann metric. This gives us the necessary and sufficient condition of the convexity of the Kobayashi-Royden metric. |
Milestones
Received: 20 November 1997
Revised: 10 April 1999
Published: 1 May 2000
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Authors |
| Masashi Kobayashi | |
| Graduate School of Mathematical
Sciences University of Tokyo 8-1 Komaba 3-chome Meguro-ku Tokyo Japan |
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