A Study of the Spectral Sequence for Locally Free Isometric Actions of Abelian Lie Groups
Abstract
We give an upper bound on the number of the page on which the spectral sequence corresponding to a locally free isometric action of an abelian Lie group degenerates. We give examples showing that these bounds are indeed sharp. Finally, we further justify the study of this sequence by exhibiting a potential application to the study of harmonic forms.
Fields of Study & Subjects
advanced mathematical theories
Mathematical Dynamics and Fractals
Advanced Mathematical Modeling in Engineering
Publication details
- Journal / source
- Symmetry Integrability and Geometry Methods and Applications
- Publication date
- 8 August 2026
- Language
- EN