首先引入了Leibniz仿射群的概念；然后给出了G -仿射群是Leibniz仿射群的一个充要条件，得到了Leibniz仿射群上Leibniz张量和Leibniz括号的具体表达式；最后得到了Leibniz仿射群及其子流形与Leibniz左作用的相关性质。%The concept of Leibniz-affine group was introduced firstly,then a necessary and sufficient condition of a G-affine group being a Leibniz-affine group was given. And the concrete expressions of Leibniz tensor and Leibniz bracket on the Leibniz-affine group were obtained. Finally,some properties about Leibniz-affine group, its submanifolds and Leibniz-left action were proved.
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