Globally hypoelliptic systems of vector fields on nilmanifolds

DOI10.1016/0022-1236(88)90093-6zbMath0645.58045OpenAlexW1964344454MaRDI QIDQ1103248

Jacek M. Cygan, Leonard F. Richardson

Publication date: 1988

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(88)90093-6

zbMATH Keywords

nilmanifoldsglobally hypoelliptic

Mathematics Subject Classification ID

Partial differential equations on manifolds; differential operators (58J99) Lie groups (22E99)

Related Items (2)

Abelian actions with globally hypoelliptic leafwise Laplacian and rigidity ⋮ On globally hypoelliptic abelian actions and their existence on homogeneous spaces

Cites Work

• Globally hypoelliptic vector fields
• Smoothness and analyticity for solutions of first order systems of partial differential equations on nilpotent Lie groups
• Uniform distribution in solvmanifolds
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Global Solvability on Compact Nilmanifolds of Three or More Steps
• Hypoellipticity on the Heisenberg Group-Representation-Theoretic Criteria
• Solution élémentaire d'un opérateur différentiel linéaire invariant à gauche sur un groupe de Lie réel compact et sur un espace homogène réductif compact
• Global Hypoellipticity and Liouville Numbers
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
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