An extension of a result by Lonke to intersection bodies

作者：Alfonseca M Angeles^*

来源：Journal of Mathematical Analysis and Applications, 2010, 371(1): 146-157.

DOI：10.1016/j.jmaa.2010.04.073

• Intersection bodies
• Bodies of revolution

In this paper we prove that intersection bodies cannot be direct sums using Fourier analytic techniques. This extends a result by Lonke. We also prove a necessary regularity condition and a convexity condition for a body of revolution to be an intersection body of a star body.

• 出版日期2010-11-1