Rigidity of locally free Lie group actions and leafwise cohomology
Shigenori Matsumoto
TL;DR
This paper explores the connection between the rigidity of certain Lie group actions on manifolds and the leafwise cohomology of their orbit foliations, including computational results.
Contribution
It establishes relations between parameter rigidity and leafwise cohomology, providing new computational insights into the cohomology of orbit foliations.
Findings
Parameter rigidity relates to the first leafwise cohomology.
Computational methods for leafwise cohomology are developed.
New results on the cohomology of orbit foliations are presented.
Abstract
Relations between parameter rigidity of locally free Lie group actions on closed manifolds and the 1st leafwise cohomology of the orbit foliations are discussed. Some computational results of the leafwise cohomology are included.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology