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arXiv · 1905.06781

Improved Beckner-Sobolev inequalities on K\"ahler manifolds

Fabrice Baudoin·Ovidiu Munteanu
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Abstract

We prove new Beckner-Sobolev type inequalities on compact K\"{a}hler manifolds with positive Ricci curvature. As an application, we obtain a diameter upper bound that improves the Bonnet-Myers bound.

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BibTeXRIS

Fabrice Baudoin, Ovidiu Munteanu. 2019-05-16. Improved Beckner-Sobolev inequalities on K\"ahler manifolds. https://arxiv.org/abs/1905.06781

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