J. Korean Math. Soc. 2020; 57(6): 1335-1345
Online first article January 9, 2020 Printed November 1, 2020
https://doi.org/10.4134/JKMS.j190640
Copyright © The Korean Mathematical Society.
Young-Jun Choi, Kang-Hyurk Lee, Sungmin Yoo
Pusan National University; Gyeongsang National University; Institute for Basic Science (IBS)
We will show a rigidity of a K\"ahler potential of the Poincar\'e metric with a constant length differential.
Keywords: The Poincar\'e metric, K\"ahler hyperbolicity
MSC numbers: 32Q15, 32M25, 30F45
Supported by: The research of first and second named authors was supported by the National Research Foundation of Korea(NRF) grant funded by the Korea government (No. 2018R1C1B3005963, No. NRF-2019R1F1A1060891). The last named author was supported by IBS-R003-D1, Institute for Basic Science in Korea
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