On the Busemann-Petty problem for perturbations of the ball

Jean Bourgain

Type: Article

Publication Date: 1991-03-01

Citations: 99

DOI: https://doi.org/10.1007/bf01895416

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Geometric and Functional Analysis - View

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+	Isomorphic Busemann-Petty problem for sections of proportional dimensions	2015	Alexander Koldobsky
+ PDF Chat	The modified complex Busemann-Petty problem on sections of convex bodies	2009	Marisa Zymonopoulou
+ PDF Chat	Weighted Minkowski’s existence theorem and projection bodies	2023	Liudmyla Kryvonos Dylan Langharst
+	A Comment on the Low-Dimensional Busemann–Petty Problem	2007	Emanuel Milman
+ PDF Chat	Centered Bodies and Dual Mixed Volumes	1994	Gaoyong Zhang
+	The complex Busemann-Petty problem on sections of convex bodies	2007	Alexander Koldobsky Hermann König Marisa Zymonopoulou
+	A Positive Solution to the Busemann-Petty Problem in \Bbb R 4	1999	Gaoyong Zhang
+	Generalized Intersection Bodies	2005	Emanuel Milman
+	The modified complex Busemann-Petty problem on sections of convex bodies	2008	Marisa Zymonopoulou
+	Applications of sections and half volumes in stability	2021	Lu un Guo Xin ie Zhang

Works Cited by This (4)

Action	Title	Year	Authors
+	A note on a problem of H. Busemann and C. M. Petty concerning sections of symmetric convex bodies	1990	Apostolos Giannopoulos
+	The existence of a centrally symmetric convex body with central sections that are unexpectedly small	1975	D. G. Larman C. A. Rogers
+ PDF Chat	Problems on convex bodies	1956	Herbert Busemann C. M. Petty
+	Some remarks on the geometry of convex sets	1988	Keith Ball