Holomorphic Lie Group Actions on Danielewski Surfaces
arxiv(2022)
摘要
We prove that any Lie subgroup $G$ (with finitely many connected components) of an infinite-dimensional topological group $\mathcal G$ which is an amalgamated product of two closed subgroups, can be conjugated to one factor. We apply this result to classify Lie group actions on Danielewski surfaces by elements of the overshear group (up to conjugation).
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关键词
Danielewski surfaces,automorphisms,overshears,free amalgamated product,Lie group actions,one-parameter subgroups
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