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Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature [PDF]
In this paper we consider Riemannian manifolds of dimension at least $3$, with nonnegative Ricci curvature and Euclidean Volume Growth. For every open bounded subset with smooth boundary we establish the validity of an optimal Minkowski Inequality.
L. Benatti+2 more
semanticscholar +1 more source
A nonabelian Brunn–Minkowski inequality [PDF]
Henstock and Macbeath asked in 1953 whether the Brunn–Minkowski inequality can be generalized to nonabelian locally compact groups; questions along the same line were also asked by Hrushovski, McCrudden, and Tao.
Yifan Jing+2 more
semanticscholar +1 more source
Some (p, q)-Hardy type inequalities for (p, q)-integrable functions
In this paper, we study some $(p,q)$-Hardy type inequalities for $(p,q)$-integrable functions. Moreover, we also study $(p,q)$-Hölder integral inequality and $(p,q)$-Minkowski integral inequality for two variables.
Suriyakamol Thongjob+2 more
doaj +1 more source
Mass Hierarchies and Quantum Gravity Constraints in DKMM‐refined KKLT
Abstract We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3‐brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed “the throat fitting into the bulk” directly from the Klebanov‐Strassler geometry.
Ralph Blumenhagen+2 more
wiley +1 more source
The logarithmic Minkowski inequality for non-symmetric convex bodies
Alina Stancu
openalex +2 more sources
Lp-dual three mixed quermassintegrals
In the paper, the concept of Lp-dual three-mixed quermassintegrals is introduced. The formula for the Lp-dual three-mixed quermassintegrals with respect to the p-radial addition is proved. Inequalities of Lp-Minkowski, and Brunn-Minkowski type for the Lp-
Zhao Chang-Jian, Bencze Mihály
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Inequalities in Riemann–Lebesgue Integrability
In this paper, we prove some inequalities for Riemann–Lebesgue integrable functions when the considered integration is obtained via a non-additive measure, including the reverse Hölder inequality and the reverse Minkowski inequality.
Anca Croitoru+3 more
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Inequalities for pqth-dual mixed volumes
In the paper, our main aim is to generalize the qth dual volume to Lp space, and introduce pqth-dual mixed volume by calculating the first order variation of qth dual volumes.
Zhao Chang-Jian, Bencze Mihály
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Log-Minkowski inequalities for the Lp $L_{p}$-mixed quermassintegrals
Böröczky et al. proposed the log-Minkowski problem and established the plane log-Minkowski inequality for origin-symmetric convex bodies. Recently, Stancu proved the log-Minkowski inequality for mixed volumes; Wang, Xu, and Zhou gave the Lp $L_{p ...
Chao Li, Weidong Wang
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