Characterizations of curvature positivity of Riemannian vector bundles and convexity or pseudoconvexity of bounded domains in \(\mathbb{R}^n\) or \(\mathbb{C}^n\) in terms of \(L^2\)-estimate of \(d\) or \(\overline{\partial}\) equation
DOI10.1016/j.jfa.2021.109184zbMath1477.32054OpenAlexW3184757513MaRDI QIDQ1982509
Publication date: 14 September 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jfa.2021.109184
Convexity of real functions of several variables, generalizations (26B25) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Plurisubharmonic functions and generalizations (32U05) Pseudoconvex domains (32T99)
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Cites Work
- Unnamed Item
- \(L^2\)-estimates for the \(d\)-equation and Witten's proof of the Morse inequalities
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- \(Q\)-complete domains with corners in \({\mathbb{P}^n}\) and extension of line bundles
- On matrix-valued log-concavity and related Prékopa and Brascamp-Lieb inequalities
- Characterizations of plurisubharmonic functions
- Curvature of vector bundles associated to holomorphic fibrations
- \(L^2\)-estimates on \(p\)-convex Riemannian manifolds
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- Curvature positivity of invariant direct images of Hermitian vector bundles
- Morse Theory. (AM-51)
- The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
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