Normally contracting Lie group actions
Takashi Inaba, Yoshihiko Mitsumatsu, Shigenori Matsumoto
TL;DR
This paper proves that unimodular Lie groups cannot have normally contracting actions on closed manifolds, establishing a fundamental limitation in the dynamics of such group actions.
Contribution
It provides a new theoretical result demonstrating the non-existence of normally contracting actions for unimodular Lie groups on closed manifolds.
Findings
No normally contracting actions exist for unimodular Lie groups on closed manifolds.
The result constrains possible dynamical behaviors of unimodular Lie groups.
Advances understanding of group actions in geometric and dynamical systems.
Abstract
We show that there are no normally contracting actions of unimodular Lie groups on closed manifolds.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Geometric and Algebraic Topology