- 著者
- Kazuko MATSUMOTO
- 出版者
- Faculty of Mathematics, Kyushu University
- 雑誌
- Kyushu Journal of Mathematics (ISSN:13406116)
- 巻号頁・発行日
- vol.72, no.1, pp.107-121, 2018 (Released:2018-06-27)
- 参考文献数
- 22
A. Takeuchi showed that the negative logarithm of the Fubini-Study boundary distance function of pseudoconvex domains in the complex projective space CPn, n ∈ N, is strictly plurisubharmonic and solved the Levi problem for CPn. His estimate from below of the Levi form is nowadays called the ‘Takeuchi's inequality.' In this paper, we give the ‘Takeuchi's equality,' i.e. an explicit representation of the Levi form of the negative logarithm of the Fubini-Study distance to complex submanifolds in CPn.