Proper Lie groupoids are real analytic
David Mart\'inez Torres
TL;DR
This paper proves that every proper Lie groupoid can be endowed with a compatible real analytic structure, enhancing its mathematical properties and potential applications.
Contribution
It establishes that all proper Lie groupoids admit a compatible real analytic structure, a significant advancement in the understanding of their geometric properties.
Findings
Proper Lie groupoids can be equipped with a real analytic structure.
The result applies to all proper Lie groupoids, broadening their analytical framework.
This work bridges the gap between smooth and real analytic structures in Lie groupoids.
Abstract
We show that any proper Lie groupoid admits a compatible (real) analytic structure.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Advanced Topics in Algebra · Geometric and Algebraic Topology