Global homotopy formulas on \(q\)-concave CR manifolds for small degrees

DOI10.1007/s12220-008-9020-4zbMath1154.32013OpenAlexW4205395126MaRDI QIDQ941859

Jürgen Leiterer, Christine Laurent-Thiébaut

Publication date: 2 September 2008

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-008-9020-4

zbMATH Keywords

homotopy formulatangential Cauchy-Riemann equationcompact \(CR\) manifolds

Mathematics Subject Classification ID

Analysis on CR manifolds (32V20)

Related Items (3)

Global homotopy formulas on \(q\)-concave \(CR\) manifolds for large degrees ⋮ Poincaré lemma and global homotopy formulas with sharp anisotropic Hölder estimates in \(q\)-concave CR manifolds ⋮ Stability of the embeddability under perturbations of the CR structure for compact CR manifolds

Cites Work

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• Versal embeddings of compact 3-pseudoconcave CR submanifolds
• Fundamental solutions and optimal estimates for the tangential Cauchy-Riemann operator
• Sharp estimates for the operator \(\overline{\partial}_M\) on a \(q\)-concave CR-manifold
• Sharp Lipschitz estimates for operator \(\overline\partial_ M\) on a \(q\)-pseudoconcave CR manifold.
• Global \(\overline{\partial}_M\)-homotopy with \(C^k\) estimates for a family of compact, regular \(q\)-pseudoconcave CR manifolds
• Integral representations of differential forms on Cauchy-Riemann manifolds and the theory of CR-functions

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