A Solution to the Lower Dimensional Busemann-petty Problem in the Hyperbolic Space
نویسنده
چکیده
The lower dimensional Busemann-Petty problem asks whether origin symmetric convex bodies in R with smaller volume of all k-dimensional sections necessarily have smaller volume. As proved by Bourgain and Zhang, the answer to this question is negative if k > 3. The problem is still open for k = 2, 3. In this article we formulate and completely solve the lower dimensional Busemann-Petty problem in the hyperbolic space H.
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تاریخ انتشار 2005