On Polyakov's notion of regular \(q\)-concave CR manifolds.

DOI10.1007/s00209-005-0888-4zbMath1095.32014OpenAlexW2002259510MaRDI QIDQ2491123

Jürgen Leiterer, Christine Laurent-Thiébaut

Publication date: 26 May 2006

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-005-0888-4

zbMATH Keywords

\(q\)-concavityCauchy-Riemann manifolds

Mathematics Subject Classification ID

(q)-convexity, (q)-concavity (32F10) Analysis on CR manifolds (32V20)

Related Items

Poincaré lemma and global homotopy formulas with sharp anisotropic Hölder estimates in \(q\)-concave CR manifolds ⋮ Fundamental solutions and optimal estimates for the tangential Cauchy-Riemann operator

Cites Work

• Unnamed Item
• Uniform estimates for the Cauchy-Riemann equation on \(q\)-convex wedges
• Versal embeddings of compact 3-pseudoconcave CR submanifolds
• Sharp estimates for the operator \(\overline{\partial}_M\) on a \(q\)-concave CR-manifold
• Global \(\overline{\partial}_M\)-homotopy with \(C^k\) estimates for a family of compact, regular \(q\)-pseudoconcave CR manifolds

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