Various centroids and some characterizations of catenary rotation hypersurfaces

Authors

DONG-SOO KIM
YOUNG HO KIM
DAE WON YOON

DOI

10.3906/mat-1703-61

Abstract

We study positive $C^1$ functions $z=f(x), x=(x_1,\cdots, x_n)$ defined on the $n$-dimensional Euclidean space $ \mathbb R^{n}$. For $x=(x_1,\cdots, x_n)$ with nonzero numbers $x_1, \cdots, x_n$, we consider the rectangular domain $I(x)=I(x_1)\times \cdots \times I(x_n)\subset \mathbb R^{n}$, where $I(x_i)= [0, x_i]$ if $x_i>0$ and $I(x_i)= [x_i,0]$ if $x_i

Keywords

Centroid, surface centroid, volume, surface area, catenary rotation hypersurface

First Page

360

Last Page

372

Recommended Citation

KIM, DONG-SOO; KIM, YOUNG HO; and YOON, DAE WON (2018) "Various centroids and some characterizations of catenary rotation hypersurfaces," Turkish Journal of Mathematics: Vol. 42: No. 1, Article 30. https://doi.org/10.3906/mat-1703-61
Available at: https://journals.tubitak.gov.tr/math/vol42/iss1/30