Abstract

In this paper we introduce a reduction theory based on the hyperbolic center of mass, which is different from the reduction introduced by Julia (1917). We show that the zero map via the Julia quadratic is different than the hyperbolic center of mass. Moreover, we discover some interesting formulas for computing the hyperbolic centroid.

中文翻译：

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通过双曲质心减少二元形式

摘要

在本文中，我们介绍了基于双曲线质心的约简理论，该理论不同于朱莉娅（1917）提出的约简。我们表明，通过Julia二次曲面的零图不同于双曲质心。此外，我们发现了一些有趣的公式来计算双曲线质心。