@article{106ce59e306144f8889ea38957d1457b,
title = "SHARP ISOPERIMETRIC INEQUALITIES FOR AFFINE QUERMASSINTEGRALS",
keywords = "Blaschke–Santal´o inequality, Convex Geometry, Loomis– Whitney inequality, Lutwak{\textquoteright}s conjecture, Petty{\textquoteright}s projection inequality, affine quermassintegrals, isoperimetric inequality",
author = "Emanuel Milman and Amir Yehudayoff",
note = "Funding Information: Received by the editors December 17, 2020, and, in revised form, June 14, 2022. 2020 Mathematics Subject Classification. Primary 52A40. Key words and phrases. Lutwak{\textquoteright}s conjecture, affine quermassintegrals, Convex Geometry, isoperimetric inequality, Blaschke–Santal{\'o} inequality, Petty{\textquoteright}s projection inequality, Loomis– Whitney inequality. The research leading to these results was part of a project that had received funding from the European Research Council (ERC) under the European Union{\textquoteright}s Horizon 2020 research and innovation programme (grant agreement No. 637851). This work was supported by the Israeli Science Foundation grant #1162/15.",
year = "2023",
doi = "https://doi.org/10.1090/jams/1013",
language = "الإنجليزيّة",
volume = "36",
pages = "1061--1101",
journal = "Journal of the American Mathematical Society",
issn = "0894-0347",
publisher = "American Mathematical Society",
number = "4",
}