Weitzenböck formulas for Riemannian foliations

DOI10.1016/j.difgeo.2008.10.014zbMath1176.53039OpenAlexW2164700783WikidataQ115357379 ScholiaQ115357379MaRDI QIDQ1023407

Vladimir Slesar

Publication date: 11 June 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2008.10.014

zbMATH Keywords

Riemannian foliationWeitzenböck formulade Rham derivative

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Foliations (differential geometric aspects) (53C12) de Rham cohomology and algebraic geometry (14F40) Foliations in differential topology; geometric theory (57R30)

Related Items (2)

On the Dirac spectrum of Riemannian foliations admitting a basic parallel 1-form ⋮ A vanishing result for the \(\mathrm{Spin}^{c}\) Dirac operator defined along the leaves of a foliation

Cites Work

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• The adiabatic limit, Hodge cohomology and Leray's spectral sequence for a fibration
• Vanishing theorem for transverse Dirac operators on Riemannian foliations
• Global gravitational anomalies
• Hodge decomposition along the leaves of Riemannian foliation
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• Adiabatic limits and spectral sequences for Riemannian foliations
• Foliated manifolds with bundle-like metrics
• Spectral sequences and taut Riemannian foliations
• Long time behavior of leafwise heat flow for Riemannian foliations

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