Abstract
We pose a normal form of transition functions along some Levi-flat hypersurfaces obtained by suspension. By focusing on methods in circle dynamics and linearization theorems, we give a sufficient condition to obtain a normal form as a geometrical analogue of Arnol'd's linearization theorem.
Acknowledgment
The author would like to thank Takayuki Koike for fruitful comments. This work was partly supported by Osaka Central Advanced Mathematical Institute: MEXT Joint Usage/Research Center on Mathematics and Theoretical Physics JPMXP0619217849.
Citation
Satoshi OGAWA. "Linearization of transition functions along a certain class of Levi-flat hypersurfaces." Hokkaido Math. J. 53 (3) 485 - 510, October 2024. https://doi.org/10.14492/hokmj/2023-721
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