A Sufficient Condition for a Bounded Set of Positive Lebesgue Measure in ℝ2 or ℝ3 to Contain its Centroid
Eric Hintikka, Steven George Krantz · Real Analysis Exchange · 2015
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.