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Ali Taghavi
Ali Taghavi
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What is an example of a compact Lie group $G$ which is not isomorphic to a product of two nontrivial lie groups and satisfies the following property:

There are two non zero vector fields $X, Y \in g$, the lie algebra of $G$, such that the corresponding one dimensional foliations $F_{X}$ and $F_{Y}$ are not topological equivalent?

What is an example of a compact Lie group $G$ which is not isomorphic to a product of two lie groups and satisfies the following property:

There are two non zero vector fields $X, Y \in g$, the lie algebra of $G$, such that the corresponding one dimensional foliations $F_{X}$ and $F_{Y}$ are not topological equivalent?

What is an example of a compact Lie group $G$ which is not isomorphic to a product of two nontrivial lie groups and satisfies the following property:

There are two non zero vector fields $X, Y \in g$, the lie algebra of $G$, such that the corresponding one dimensional foliations $F_{X}$ and $F_{Y}$ are not topological equivalent?

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Ali Taghavi
Ali Taghavi
  • 356
  • 8
  • 31
  • 123

A question on lie groups( Lie algebras)

What is an example of a compact Lie group $G$ which is not isomorphic to a product of two lie groups and satisfies the following property:

There are two non zero vector fields $X, Y \in g$, the lie algebra of $G$, such that the corresponding one dimensional foliations $F_{X}$ and $F_{Y}$ are not topological equivalent?