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Lie group
LIE GROUP

Definitions:

i. A lie group is a smooth manifold whose underlying set of points is equipped with a structure of a group and the multiplication and inverse maps for the group are smooth maps.

ii. A smooth manifold obeying the properties and that satisfies the additional condition that the group operations are differentiable.

iii. Lie group is a group that is also a differentiable manifold, with the property that the group operations are compatible with the smooth structure.
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.. >> WHICHEVER.


See perfect manifold (2).
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See perfect form (1).
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See perfect type (1).
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See perfect particularity (1).
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See perfect property (4).
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See perfect group (1).



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