VANISHING THEOREMS ON STRONGLY Q-CONVEX MANIFOLDS

DOI10.1142/S0219887805000569zbMath1090.32010MaRDI QIDQ5696533

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Publication date: 18 October 2005

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

zbMATH Keywords

Kähler manifoldvector bundlevanishing theoremsstrongly \(q\)-convex

Mathematics Subject Classification ID

Kähler manifolds (32Q15) (q)-convexity, (q)-concavity (32F10) Vanishing theorems (32L20)

Related Items (2)

SOLUTION TO $\overline\partial$ AND $\overline\partial_{b}$ PROBLEM FOR SMOOTH FORMS AND CURRENTS ON STRICTLY q-CONVEX DOMAINS ⋮ Solvability of the tangential Cauchy-Riemann equations on boundaries of strictly \(q\)-convex domains

Cites Work

• Unnamed Item
• Annulation de la cohomologie à valeurs dans un fibre vectoriel holomorphe positif de rang quelconque
• Carleman estimates for the Laplace-Beltrami equation on complex manifolds
• \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
• On the extension of holomorphic functions from the boundary of a complex manifold

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