Codimension one locally free actions of solvable Lie groups

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概要

• 論文の詳細を見る

• Let $G$ be a non-unimodular solvable Lie group which is a semidirect product of $\textbf{\textit{R}}^m$ and $\textbf{\textit{R}}^n$. We consider a codimension one locally free volume preserving action of $G$ on a closed manifold. It is shown that, under some conditions on the group $G$, such an action is homogeneous. It is also shown that such a group $G$ has a homogeneous action if and only if the structure constants of $G$ satisfy certain algebraic conditions.

• 東北大学の論文

著者

• Tsuchiya Nobuo

  Department Of Mathematics Toin University Of Yokohama

• Yamakawa Aiko

  Department Of Mathematics International Christianuniversity

• Yamakawa Aiko

  Department Of Gnatho-oral Prosthetic Rehabilitation Nihon University School Of Dentistry At Matsudo

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