保持连接的动作在拓扑上是有吸引力的
Connection preserving actions are topologically engaging
摘要：
拓扑和几何啮合作用已被证明是有用的，以获得半简单李群作用的刚性结果。我们证明了一个简单的非紧李群在紧致流形上保持代数型的幺模刚性几何结构（例如一个与体积密度的联系）的作用是拓扑地作用在一个开的conull稠密集上.
英文摘要：
Topologically and geometrically engaging actions have proved to be useful to obtain rigidity results for semisimple Lie group actions. We show that the action of a simple noncompact Lie group on a compact manifold preserving a unimodular rigid geometric structure of algebraic type (e.g. a connection together with a volume density) is topologically engaging on an open conull dense set.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
