A counterexample to smooth leafwise Hodge decomposition for general foliations and to a type of dynamical trace formulas

DOI10.5802/AIF.1821zbMath0997.58017OpenAlexW2312786546WikidataQ125005486 ScholiaQ125005486MaRDI QIDQ5928025

Christopher Deninger, Wilhelm Singhof

Publication date: 20 March 2001

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2001__51_1_209_0

zbMATH Keywords

dynamical trace formulafoliationHodge decompositionnilmanifold

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Periodic orbits of vector fields and flows (37C27) Foliations (differential geometric aspects) (53C12)

Related Items (2)

Morse-Novikov cohomology on foliated manifolds ⋮ A dynamical Lefschetz trace formula for algebraic Anosov diffeomorphisms

Cites Work

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• Some analogies between number theory and dynamical systems on foliated spaces
• Hodge decomposition along the leaves of Riemannian foliation
• Long time behavior of leafwise heat flow for Riemannian foliations
• Flows on Homogeneous Spaces. (AM-53)
• Global Solvability on Compact Nilmanifolds of Three or More Steps
• Global Solvability on Compact Heisenberg Manifolds
• Analytic and Entire Vectors for Representations of Lie Groups
• On Frobenius Reciprocity for Unipotent Algebraic Groups Over Q
• Decomposition of the L 2 -Space of a General Compact Nilmanifold
• Lectures on spectral theory of elliptic operators

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