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Improved Beckner-Sobolev inequalities on Kähler manifolds

Published 16 May 2019 in math.DG and math.AP | (1905.06781v1)

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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