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WWGD
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Does anyone know of fields (with additional structure/properties) other than either ##\mathbb R, \mathbb C ## that are "naturally" manifolds?
Thanks.
Thanks.
Every Lie group is a manifold - in fact a differentiable manifold. I dont think there are any other fields that are a Euclidean space.Just a comment that we could look at the two as groups and then the issue is whether these are Lie groups.
they are not commutativeDo you mean that the restriction of the Lie field to the additive (Abelian) group is a Lie group? And aren't ##S^3, S^7 ## also connected, commutative Lie groups?
also the octonians are not a group.Yes, I just remembered and edited, sorry.