论文标题
四维谎言组的左下不变次数对准数的极端异常
Abnormal extremals of left-invariant sub-Finsler quasimetrics on four-dimensional Lie groups
论文作者
论文摘要
在四维连接的谎言组上具有左下不变的子纹码对准列的异常极端,这是在产生代数的二维子空间上的二维子空间定义的。在谎言代数的结构常数方面和支持eminorm单位球在二维代数子空间上的单位球的函数,定义了准法,我们建立了这些极端异常的标准。
Abnormal extremals on four-dimensional connected Lie groups with left-invariant sub-Finsler quasimetric, defined by a seminorm on a two-dimensional subspace of the Lie algebra generating the algebra, are found. In terms of structure constant of Lie algebra and supporting Minkowski function for the unit ball of seminorm on two-dimensional subspace of Lie algebra, defining a quasimetric, we establish a criterion for strict abnormality of these extremals.