Open Access
2015 Generalizations of Pappus' centroid theorem via Stokes' theorem
Cole Adams, Stephen Lovett, Matthew McMillan
Involve 8(5): 771-785 (2015). DOI: 10.2140/involve.2015.8.771

Abstract

This paper provides a novel proof of a generalization of Pappus’ centroid theorem on n-dimensional tubes using Stokes’ theorem on manifolds.

Citation

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Cole Adams. Stephen Lovett. Matthew McMillan. "Generalizations of Pappus' centroid theorem via Stokes' theorem." Involve 8 (5) 771 - 785, 2015. https://doi.org/10.2140/involve.2015.8.771

Information

Received: 18 March 2014; Accepted: 22 November 2014; Published: 2015
First available in Project Euclid: 22 November 2017

zbMATH: 1325.53013
MathSciNet: MR3404657
Digital Object Identifier: 10.2140/involve.2015.8.771

Subjects:
Primary: 53A07 , 58C35

Keywords: Manifolds , Stokes' theorem on manifolds , tubes , Volume

Rights: Copyright © 2015 Mathematical Sciences Publishers

Vol.8 • No. 5 • 2015
MSP
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