二维平坦流形上Killing张量的几何分类
Geometrical classification of Killing tensors on bidimensional flat manifolds
摘要:
在欧氏平面和闵可夫斯基平面上的二价Killing张量在保持相应Killing网类型的群的作用下被分类。分类是基于对确定偏微分方程的组不变量的系统的分析,是完全代数的。该方法允许对特征和非特征Killing张量进行分类。
英文摘要:
Valence two Killing tensors in the Euclidean and Minkowski planes are classified under the action of the group which preserves the type of the corresponding Killing web. The classification is based on an analysis of the system of determining partial differential equations for the group invariants and is entirely algebraic. The approach allows to classify both characteristic and non characteristic Killing tensors.
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