Open Access
2013/2014 A Sufficient Condition for a Bounded Set of Positive Lebesgue Measure in ℝ 2 or ℝ 3 to Contain its Centroid
Eric A. Hintikka, Steven G. Krantz
Real Anal. Exchange 40(1): 179-192 (2013/2014).

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

Download 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.

Information

Published: 2013/2014
First available in Project Euclid: 1 July 2015

MathSciNet: MR3365397

Subjects:
Primary: 51M04
Secondary: 26E99

Keywords: Center of mass , centroid , convex set

Rights: Copyright © 2015 Michigan State University Press

Vol.40 • No. 1 • 2013/2014
Back to Top