Improved Beckner-Sobolev inequalities on Kähler manifolds

DOI10.1007/S12220-019-00252-WzbMath1467.53073arXiv1905.06781OpenAlexW2964645713MaRDI QIDQ2658992

Ovidiu Munteanu, Fabrice Baudoin

Publication date: 25 March 2021

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

Full work available at URL: https://arxiv.org/abs/1905.06781

zbMATH Keywords

Kähler manifoldSobolev inequalityRicci curvature bounddiameter bound

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• On Kählerian manifolds with positive holomorphic sectional curvature
• Global and local behavior of positive solutions of nonlinear elliptic equations
• Analysis and Geometry of Markov Diffusion Operators
• Diameter rigidity for Kähler manifolds with positive bisectional curvature
• The geometry of Markov diffusion generators

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