论文标题
与Kobayashi伪差有关的反例
Counterexamples related to the Kobayashi Pseudodistance
论文作者
论文摘要
我们提出了一些与Kobayashi伪差有关的意外示例：对于未受到的覆盖，基部上的Kobayashi伪差消失并不意味着在总空间上消失了。 Kobayashi伪主义的消失并不意味着Kobayashi Royden Pseudo指标的消失。鉴于局部骨膜琐的纤维束，即使纤维是双曲线，kobayashi pseudodistance也可能在总空间上消失。
We present some unexpected examples related to the Kobayashi pseudodistance: For an unramified covering, the vanishing of the Kobayashi pseudodistance on the base does not imply the vanishing on the total space. The vanishing of the Kobayashi pseudodistance does not imply the vanishing of the Kobayashi Royden pseudo metric. Given a locally holomorphic trivial fiber bundle, the Kobayashi pseudodistance may vanish identically on the total space even if the fiber is hyperbolic.
