An estimate on volumes of trajectory-balls for Kähler magnetic fields

Proceedings of the Japan Academy, Series A. Mathematical Sciences

article

Qingsong Shi¹  Toshiaki Adachi² 

[1] Division of Mathematics and Mathematical Science, Graduate School of Engineering, Nagoya Institute of Technology;Department of Mathematics, Nagoya Institute of Technology

关键词: Liouville numbers;    Diophantine numbers;    continued fraction.;   

DOI  :  10.3792/pjaa.92.47

学科分类：数学（综合）

来源: Japan Academy

【 摘 要 】

By applying a comparison theorem on trajectory-harps, we give an estimate of volumes of trajectory-balls for Kähler magnetic fields from below under an assumption that sectional curvatures of the underlying Kähler manifold are bounded from above.

【 授权许可】

Unknown