# zbMATH — the first resource for mathematics

A positive solution to the Busemann-Petty problem in $$\mathbb{R}^4$$. (English) Zbl 0937.52004
The author presents the solution to the Busemann-Petty problem in $$\mathbb R^4.$$ One of the key ideas in the proof, previously employed by R. J. Gardner [Ann. Math., II. Ser. 140, No. 2, 435-447 (1994; Zbl 0826.52010)], is the use of cylindrical coordinates in computing the inverse spherical Radon transform.

##### MSC:
 52A20 Convex sets in $$n$$ dimensions (including convex hypersurfaces)
Full Text: