Abelian actions with globally hypoelliptic leafwise Laplacian and rigidity

DOI10.1007/s11854-016-0018-8zbMath1379.37062arXiv1307.3661OpenAlexW2517222508MaRDI QIDQ327601

Danijela Damjanović

Publication date: 19 October 2016

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.3661

zbMATH Keywords

cohomologynilmanifold\(\mathbb R^k\)-actionhypoelliptic leafwise Laplacian

Mathematics Subject Classification ID

Homogeneous spaces (22F30) Rigidity results (53C24) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items

On local rigidity of partially hyperbolic affine \(\mathbb{Z}^k\) actions ⋮ On globally hypoelliptic abelian actions and their existence on homogeneous spaces ⋮ Transversal local rigidity of discrete abelian actions on Heisenberg nilmanifolds ⋮ Perturbations of Smooth Actions with Nontrivial Cohomology

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