Abstract
In this paper, we give a sufficient condition for a domain in either two- or three-dimensional Euclidean space to contain its centroid. We show that the condition is sharp. The condition is not, however, necessary.
Citation
Eric A. Hintikka. Steven G. Krantz. "A Sufficient Condition for a Bounded Set of Positive Lebesgue Measure in ℝ 2 or ℝ 3 to Contain its Centroid." Real Anal. Exchange 40 (1) 179 - 192, 2013/2014.
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