Global G-Manifold reductions and resolutions
Karsten Grove, Catherine Searle
TL;DR
This paper introduces fundamental constructions for smooth compact transformation groups and explores their immediate applications to geometry, providing foundational tools for understanding symmetry actions on manifolds.
Contribution
It presents new basic constructions for smooth compact transformation groups and demonstrates their applications in geometric contexts.
Findings
New constructions for transformation groups
Applications to geometric problems
Foundational tools for symmetry analysis
Abstract
The purpose of this note is to exhibit some simple and basic constructions for smooth compact transformation groups, and some of their most immediate applications to geometry.
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