Smooth actions of Lie groups and Lie algebras on manifolds
Morris W. Hirsch
TL;DR
This paper investigates the conditions under which Lie groups and Lie algebras can act smoothly on manifolds, providing criteria for different types of actions.
Contribution
It offers new necessary and sufficient conditions for the existence of various smooth actions of Lie groups and Lie algebras on manifolds.
Findings
Criteria for smooth Lie group actions on manifolds
Conditions for Lie algebra actions on manifolds
Classification of action types based on conditions
Abstract
Necessary or sufficient conditions are presented for the existence of various types of actions of Lie groups and Lie algebras on manifolds.
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