\(L^2\)-cohomology vanishing theorem on a type of generalized Cartan-Hartogs domain

DOI10.1016/j.na.2021.112332zbMath1470.32059OpenAlexW3138804783MaRDI QIDQ2033030

Xin Zhao, An Wang

Publication date: 14 June 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2021.112332

zbMATH Keywords

Kähler formBergman metricgeneralized Cartan-Hartogs domain\(L^2\)-cohomology vanishing theorem

Mathematics Subject Classification ID

Vanishing theorems (32L20) Special domains (Reinhardt, Hartogs, circular, tube, etc.) in (mathbb{C}^n) and complex manifolds (32Q02)

Related Items (1)

On the Kähler hyperbolicity with respect to the Bergman metric on a class of Hartogs domains

Cites Work

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• \(L_ 2\) cohomology of the Bergman metric for weakly pseudoconvex domains
• The Bergman kernels on Cartan-Hartogs domains
• Kähler hyperbolicity and \(L_ 2\)-Hodge theory
• Properties of squeezing functions and global transformations of bounded domains
• A VANISHING THEOREM FOR L²COHOMOLOGY ON COMPLETE MANIFOLDS
• A Note on the Bergman metric of Bounded homogeneous Domains

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