Abstract. Several affirmative answers are given in any dimension for Ulam's question about bodies floating stable in every direction if the body floats like a ball and its floating body is spherical.
DOI: 10.14232/actasm-014-801-8
AMS Subject Classification
(1991): 53C65
Keyword(s):
floating body,
sections,
caps,
weight,
ball,
sphere,
isoperimetric inequality
Received June 23, 2014, and in final form March 7, 2015. (Registered under 51/2014.)
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